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Finding the Third Proportional to 31,550 and 52,586

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Solution

The third proportional to 31,550 and 52,586 is: 87,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550 : 52,586 = 52,586 : x
  2. Step 2: Convert to fraction form
    31,550/52,586 = 52,586/x
  3. Step 3: Cross multiply
    31,550x = 52,586 × 52,586
  4. Step 4: Simplify right side
    31,550x = 2,765,287,396
  5. Step 5: Solve for x
    x = 2,765,287,396/31,550
  6. Step 6: Final answer
    x = 87,647.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.