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Finding the Third Proportional to 38,205 and 65,691

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Solution

The third proportional to 38,205 and 65,691 is: 112,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205 : 65,691 = 65,691 : x
  2. Step 2: Convert to fraction form
    38,205/65,691 = 65,691/x
  3. Step 3: Cross multiply
    38,205x = 65,691 × 65,691
  4. Step 4: Simplify right side
    38,205x = 4,315,307,481
  5. Step 5: Solve for x
    x = 4,315,307,481/38,205
  6. Step 6: Final answer
    x = 112,951.38

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.