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Finding the Third Proportional to 39,175 and 58,615

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Solution

The third proportional to 39,175 and 58,615 is: 87,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,175 : 58,615 = 58,615 : x
  2. Step 2: Convert to fraction form
    39,175/58,615 = 58,615/x
  3. Step 3: Cross multiply
    39,175x = 58,615 × 58,615
  4. Step 4: Simplify right side
    39,175x = 3,435,718,225
  5. Step 5: Solve for x
    x = 3,435,718,225/39,175
  6. Step 6: Final answer
    x = 87,701.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.