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Finding the Third Proportional to 39,819.50 and 62,149

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Solution

The third proportional to 39,819.50 and 62,149 is: 97,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,819.50 : 62,149 = 62,149 : x
  2. Step 2: Convert to fraction form
    39,819.50/62,149 = 62,149/x
  3. Step 3: Cross multiply
    39,819.50x = 62,149 × 62,149
  4. Step 4: Simplify right side
    39,819.50x = 3,862,498,201
  5. Step 5: Solve for x
    x = 3,862,498,201/39,819.50
  6. Step 6: Final answer
    x = 97,000.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.