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Finding the Third Proportional to 23,710.50 and 54,892.13

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Solution

The third proportional to 23,710.50 and 54,892.13 is: 127,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.50 : 54,892.13 = 54,892.13 : x
  2. Step 2: Convert to fraction form
    23,710.50/54,892.13 = 54,892.13/x
  3. Step 3: Cross multiply
    23,710.50x = 54,892.13 × 54,892.13
  4. Step 4: Simplify right side
    23,710.50x = 3,013,145,387.02
  5. Step 5: Solve for x
    x = 3,013,145,387.02/23,710.50
  6. Step 6: Final answer
    x = 127,080.63

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.