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Finding the Third Proportional to 38,941 and 61,007

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Solution

The third proportional to 38,941 and 61,007 is: 95,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941 : 61,007 = 61,007 : x
  2. Step 2: Convert to fraction form
    38,941/61,007 = 61,007/x
  3. Step 3: Cross multiply
    38,941x = 61,007 × 61,007
  4. Step 4: Simplify right side
    38,941x = 3,721,854,049
  5. Step 5: Solve for x
    x = 3,721,854,049/38,941
  6. Step 6: Final answer
    x = 95,576.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.