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Finding the Third Proportional to 36,882 and 58,590

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Solution

The third proportional to 36,882 and 58,590 is: 93,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,882 : 58,590 = 58,590 : x
  2. Step 2: Convert to fraction form
    36,882/58,590 = 58,590/x
  3. Step 3: Cross multiply
    36,882x = 58,590 × 58,590
  4. Step 4: Simplify right side
    36,882x = 3,432,788,100
  5. Step 5: Solve for x
    x = 3,432,788,100/36,882
  6. Step 6: Final answer
    x = 93,074.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.