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Finding the Third Proportional to 39,932 and 61,820

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Solution

The third proportional to 39,932 and 61,820 is: 95,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,932 : 61,820 = 61,820 : x
  2. Step 2: Convert to fraction form
    39,932/61,820 = 61,820/x
  3. Step 3: Cross multiply
    39,932x = 61,820 × 61,820
  4. Step 4: Simplify right side
    39,932x = 3,821,712,400
  5. Step 5: Solve for x
    x = 3,821,712,400/39,932
  6. Step 6: Final answer
    x = 95,705.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.