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Finding the Third Proportional to 38,939 and 61,004

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Solution

The third proportional to 38,939 and 61,004 is: 95,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,939 : 61,004 = 61,004 : x
  2. Step 2: Convert to fraction form
    38,939/61,004 = 61,004/x
  3. Step 3: Cross multiply
    38,939x = 61,004 × 61,004
  4. Step 4: Simplify right side
    38,939x = 3,721,488,016
  5. Step 5: Solve for x
    x = 3,721,488,016/38,939
  6. Step 6: Final answer
    x = 95,572.25

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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.