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Finding the Third Proportional to 10,472.20 and 22,787.16

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Solution

The third proportional to 10,472.20 and 22,787.16 is: 49,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.20 : 22,787.16 = 22,787.16 : x
  2. Step 2: Convert to fraction form
    10,472.20/22,787.16 = 22,787.16/x
  3. Step 3: Cross multiply
    10,472.20x = 22,787.16 × 22,787.16
  4. Step 4: Simplify right side
    10,472.20x = 519,254,489.96
  5. Step 5: Solve for x
    x = 519,254,489.96/10,472.20
  6. Step 6: Final answer
    x = 49,584.07

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