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Finding the Third Proportional to 38,404 and 88,963

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Solution

The third proportional to 38,404 and 88,963 is: 206,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404 : 88,963 = 88,963 : x
  2. Step 2: Convert to fraction form
    38,404/88,963 = 88,963/x
  3. Step 3: Cross multiply
    38,404x = 88,963 × 88,963
  4. Step 4: Simplify right side
    38,404x = 7,914,415,369
  5. Step 5: Solve for x
    x = 7,914,415,369/38,404
  6. Step 6: Final answer
    x = 206,083.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.