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Finding the Third Proportional to 39,129 and 58,878

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Solution

The third proportional to 39,129 and 58,878 is: 88,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,129 : 58,878 = 58,878 : x
  2. Step 2: Convert to fraction form
    39,129/58,878 = 58,878/x
  3. Step 3: Cross multiply
    39,129x = 58,878 × 58,878
  4. Step 4: Simplify right side
    39,129x = 3,466,618,884
  5. Step 5: Solve for x
    x = 3,466,618,884/39,129
  6. Step 6: Final answer
    x = 88,594.62

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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.