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Finding the Third Proportional to 42,691 and 64,029

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Solution

The third proportional to 42,691 and 64,029 is: 96,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,691 : 64,029 = 64,029 : x
  2. Step 2: Convert to fraction form
    42,691/64,029 = 64,029/x
  3. Step 3: Cross multiply
    42,691x = 64,029 × 64,029
  4. Step 4: Simplify right side
    42,691x = 4,099,712,841
  5. Step 5: Solve for x
    x = 4,099,712,841/42,691
  6. Step 6: Final answer
    x = 96,032.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.