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Finding the Third Proportional to 39,274 and 62,697

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Solution

The third proportional to 39,274 and 62,697 is: 100,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,274 : 62,697 = 62,697 : x
  2. Step 2: Convert to fraction form
    39,274/62,697 = 62,697/x
  3. Step 3: Cross multiply
    39,274x = 62,697 × 62,697
  4. Step 4: Simplify right side
    39,274x = 3,930,913,809
  5. Step 5: Solve for x
    x = 3,930,913,809/39,274
  6. Step 6: Final answer
    x = 100,089.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.