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Finding the Third Proportional to 48,513.38 and 105,571.13

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Solution

The third proportional to 48,513.38 and 105,571.13 is: 229,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,513.38 : 105,571.13 = 105,571.13 : x
  2. Step 2: Convert to fraction form
    48,513.38/105,571.13 = 105,571.13/x
  3. Step 3: Cross multiply
    48,513.38x = 105,571.13 × 105,571.13
  4. Step 4: Simplify right side
    48,513.38x = 11,145,262,433.77
  5. Step 5: Solve for x
    x = 11,145,262,433.77/48,513.38
  6. Step 6: Final answer
    x = 229,735.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.