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Finding the Third Proportional to 36,882 and 58,641

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Solution

The third proportional to 36,882 and 58,641 is: 93,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,882 : 58,641 = 58,641 : x
  2. Step 2: Convert to fraction form
    36,882/58,641 = 58,641/x
  3. Step 3: Cross multiply
    36,882x = 58,641 × 58,641
  4. Step 4: Simplify right side
    36,882x = 3,438,766,881
  5. Step 5: Solve for x
    x = 3,438,766,881/36,882
  6. Step 6: Final answer
    x = 93,237.00

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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.