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Finding the Third Proportional to 32,788.13 and 75,691.13

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Solution

The third proportional to 32,788.13 and 75,691.13 is: 174,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,788.13 : 75,691.13 = 75,691.13 : x
  2. Step 2: Convert to fraction form
    32,788.13/75,691.13 = 75,691.13/x
  3. Step 3: Cross multiply
    32,788.13x = 75,691.13 × 75,691.13
  4. Step 4: Simplify right side
    32,788.13x = 5,729,146,403.77
  5. Step 5: Solve for x
    x = 5,729,146,403.77/32,788.13
  6. Step 6: Final answer
    x = 174,732.36

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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.