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Finding the Third Proportional to 10,957.92 and 23,966.16

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Solution

The third proportional to 10,957.92 and 23,966.16 is: 52,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.92 : 23,966.16 = 23,966.16 : x
  2. Step 2: Convert to fraction form
    10,957.92/23,966.16 = 23,966.16/x
  3. Step 3: Cross multiply
    10,957.92x = 23,966.16 × 23,966.16
  4. Step 4: Simplify right side
    10,957.92x = 574,376,645.40
  5. Step 5: Solve for x
    x = 574,376,645.40/10,957.92
  6. Step 6: Final answer
    x = 52,416.57

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