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Finding the Third Proportional to 38,659 and 59,735

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Solution

The third proportional to 38,659 and 59,735 is: 92,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,659 : 59,735 = 59,735 : x
  2. Step 2: Convert to fraction form
    38,659/59,735 = 59,735/x
  3. Step 3: Cross multiply
    38,659x = 59,735 × 59,735
  4. Step 4: Simplify right side
    38,659x = 3,568,270,225
  5. Step 5: Solve for x
    x = 3,568,270,225/38,659
  6. Step 6: Final answer
    x = 92,301.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.