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Finding the Third Proportional to 48,228.75 and 105,795.38

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Solution

The third proportional to 48,228.75 and 105,795.38 is: 232,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,228.75 : 105,795.38 = 105,795.38 : x
  2. Step 2: Convert to fraction form
    48,228.75/105,795.38 = 105,795.38/x
  3. Step 3: Cross multiply
    48,228.75x = 105,795.38 × 105,795.38
  4. Step 4: Simplify right side
    48,228.75x = 11,192,661,371.39
  5. Step 5: Solve for x
    x = 11,192,661,371.39/48,228.75
  6. Step 6: Final answer
    x = 232,074.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.