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Finding the Third Proportional to 39,794.50 and 62,113

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Solution

The third proportional to 39,794.50 and 62,113 is: 96,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,794.50 : 62,113 = 62,113 : x
  2. Step 2: Convert to fraction form
    39,794.50/62,113 = 62,113/x
  3. Step 3: Cross multiply
    39,794.50x = 62,113 × 62,113
  4. Step 4: Simplify right side
    39,794.50x = 3,858,024,769
  5. Step 5: Solve for x
    x = 3,858,024,769/39,794.50
  6. Step 6: Final answer
    x = 96,948.69

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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.