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Finding the Third Proportional to 22,537.13 and 52,171.88

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Solution

The third proportional to 22,537.13 and 52,171.88 is: 120,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.13 : 52,171.88 = 52,171.88 : x
  2. Step 2: Convert to fraction form
    22,537.13/52,171.88 = 52,171.88/x
  3. Step 3: Cross multiply
    22,537.13x = 52,171.88 × 52,171.88
  4. Step 4: Simplify right side
    22,537.13x = 2,721,904,541.02
  5. Step 5: Solve for x
    x = 2,721,904,541.02/22,537.13
  6. Step 6: Final answer
    x = 120,774.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.