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Finding the Third Proportional to 48,228.63 and 105,795

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Solution

The third proportional to 48,228.63 and 105,795 is: 232,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,228.63 : 105,795 = 105,795 : x
  2. Step 2: Convert to fraction form
    48,228.63/105,795 = 105,795/x
  3. Step 3: Cross multiply
    48,228.63x = 105,795 × 105,795
  4. Step 4: Simplify right side
    48,228.63x = 11,192,582,025
  5. Step 5: Solve for x
    x = 11,192,582,025/48,228.63
  6. Step 6: Final answer
    x = 232,073.42

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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.