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Finding the Third Proportional to 40,291 and 60,590

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Solution

The third proportional to 40,291 and 60,590 is: 91,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291 : 60,590 = 60,590 : x
  2. Step 2: Convert to fraction form
    40,291/60,590 = 60,590/x
  3. Step 3: Cross multiply
    40,291x = 60,590 × 60,590
  4. Step 4: Simplify right side
    40,291x = 3,671,148,100
  5. Step 5: Solve for x
    x = 3,671,148,100/40,291
  6. Step 6: Final answer
    x = 91,115.83

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