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Finding the Third Proportional to 39,586 and 59,757

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Solution

The third proportional to 39,586 and 59,757 is: 90,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,586 : 59,757 = 59,757 : x
  2. Step 2: Convert to fraction form
    39,586/59,757 = 59,757/x
  3. Step 3: Cross multiply
    39,586x = 59,757 × 59,757
  4. Step 4: Simplify right side
    39,586x = 3,570,899,049
  5. Step 5: Solve for x
    x = 3,570,899,049/39,586
  6. Step 6: Final answer
    x = 90,206.11

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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.