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Finding the Third Proportional to 39,414 and 59,529

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Solution

The third proportional to 39,414 and 59,529 is: 89,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 59,529 = 59,529 : x
  2. Step 2: Convert to fraction form
    39,414/59,529 = 59,529/x
  3. Step 3: Cross multiply
    39,414x = 59,529 × 59,529
  4. Step 4: Simplify right side
    39,414x = 3,543,701,841
  5. Step 5: Solve for x
    x = 3,543,701,841/39,414
  6. Step 6: Final answer
    x = 89,909.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.