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Finding the Third Proportional to 39,450 and 59,586

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Solution

The third proportional to 39,450 and 59,586 is: 89,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,450 : 59,586 = 59,586 : x
  2. Step 2: Convert to fraction form
    39,450/59,586 = 59,586/x
  3. Step 3: Cross multiply
    39,450x = 59,586 × 59,586
  4. Step 4: Simplify right side
    39,450x = 3,550,491,396
  5. Step 5: Solve for x
    x = 3,550,491,396/39,450
  6. Step 6: Final answer
    x = 89,999.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.