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Finding the Third Proportional to 10,149.75 and 23,542.88

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Solution

The third proportional to 10,149.75 and 23,542.88 is: 54,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.75 : 23,542.88 = 23,542.88 : x
  2. Step 2: Convert to fraction form
    10,149.75/23,542.88 = 23,542.88/x
  3. Step 3: Cross multiply
    10,149.75x = 23,542.88 × 23,542.88
  4. Step 4: Simplify right side
    10,149.75x = 554,266,963.27
  5. Step 5: Solve for x
    x = 554,266,963.27/10,149.75
  6. Step 6: Final answer
    x = 54,608.93

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Why These Related Problems?

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