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Finding the Third Proportional to 39,924 and 61,102

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Solution

The third proportional to 39,924 and 61,102 is: 93,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,924 : 61,102 = 61,102 : x
  2. Step 2: Convert to fraction form
    39,924/61,102 = 61,102/x
  3. Step 3: Cross multiply
    39,924x = 61,102 × 61,102
  4. Step 4: Simplify right side
    39,924x = 3,733,454,404
  5. Step 5: Solve for x
    x = 3,733,454,404/39,924
  6. Step 6: Final answer
    x = 93,514.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.