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Finding the Third Proportional to 39,436 and 59,625

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Solution

The third proportional to 39,436 and 59,625 is: 90,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,436 : 59,625 = 59,625 : x
  2. Step 2: Convert to fraction form
    39,436/59,625 = 59,625/x
  3. Step 3: Cross multiply
    39,436x = 59,625 × 59,625
  4. Step 4: Simplify right side
    39,436x = 3,555,140,625
  5. Step 5: Solve for x
    x = 3,555,140,625/39,436
  6. Step 6: Final answer
    x = 90,149.63

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