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Finding the Third Proportional to 39,586 and 59,758

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Solution

The third proportional to 39,586 and 59,758 is: 90,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,586 : 59,758 = 59,758 : x
  2. Step 2: Convert to fraction form
    39,586/59,758 = 59,758/x
  3. Step 3: Cross multiply
    39,586x = 59,758 × 59,758
  4. Step 4: Simplify right side
    39,586x = 3,571,018,564
  5. Step 5: Solve for x
    x = 3,571,018,564/39,586
  6. Step 6: Final answer
    x = 90,209.13

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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.