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Finding the Third Proportional to 24,912 and 27,526.13

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Solution

The third proportional to 24,912 and 27,526.13 is: 30,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912 : 27,526.13 = 27,526.13 : x
  2. Step 2: Convert to fraction form
    24,912/27,526.13 = 27,526.13/x
  3. Step 3: Cross multiply
    24,912x = 27,526.13 × 27,526.13
  4. Step 4: Simplify right side
    24,912x = 757,687,557.52
  5. Step 5: Solve for x
    x = 757,687,557.52/24,912
  6. Step 6: Final answer
    x = 30,414.56

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.