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Finding the Third Proportional to 22,534.13 and 52,165.13

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Solution

The third proportional to 22,534.13 and 52,165.13 is: 120,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.13 : 52,165.13 = 52,165.13 : x
  2. Step 2: Convert to fraction form
    22,534.13/52,165.13 = 52,165.13/x
  3. Step 3: Cross multiply
    22,534.13x = 52,165.13 × 52,165.13
  4. Step 4: Simplify right side
    22,534.13x = 2,721,200,266.27
  5. Step 5: Solve for x
    x = 2,721,200,266.27/22,534.13
  6. Step 6: Final answer
    x = 120,759.08

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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.