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Finding the Third Proportional to 39,716 and 61,919

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Solution

The third proportional to 39,716 and 61,919 is: 96,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716 : 61,919 = 61,919 : x
  2. Step 2: Convert to fraction form
    39,716/61,919 = 61,919/x
  3. Step 3: Cross multiply
    39,716x = 61,919 × 61,919
  4. Step 4: Simplify right side
    39,716x = 3,833,962,561
  5. Step 5: Solve for x
    x = 3,833,962,561/39,716
  6. Step 6: Final answer
    x = 96,534.46

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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.