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Finding the Third Proportional to 40,616 and 59,339

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Solution

The third proportional to 40,616 and 59,339 is: 86,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,616 : 59,339 = 59,339 : x
  2. Step 2: Convert to fraction form
    40,616/59,339 = 59,339/x
  3. Step 3: Cross multiply
    40,616x = 59,339 × 59,339
  4. Step 4: Simplify right side
    40,616x = 3,521,116,921
  5. Step 5: Solve for x
    x = 3,521,116,921/40,616
  6. Step 6: Final answer
    x = 86,692.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.