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Finding the Third Proportional to 10,957.78 and 23,666.87

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Solution

The third proportional to 10,957.78 and 23,666.87 is: 51,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.78 : 23,666.87 = 23,666.87 : x
  2. Step 2: Convert to fraction form
    10,957.78/23,666.87 = 23,666.87/x
  3. Step 3: Cross multiply
    10,957.78x = 23,666.87 × 23,666.87
  4. Step 4: Simplify right side
    10,957.78x = 560,120,787.37
  5. Step 5: Solve for x
    x = 560,120,787.37/10,957.78
  6. Step 6: Final answer
    x = 51,116.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.