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Finding the Third Proportional to 38,032 and 88,860

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Solution

The third proportional to 38,032 and 88,860 is: 207,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032 : 88,860 = 88,860 : x
  2. Step 2: Convert to fraction form
    38,032/88,860 = 88,860/x
  3. Step 3: Cross multiply
    38,032x = 88,860 × 88,860
  4. Step 4: Simplify right side
    38,032x = 7,896,099,600
  5. Step 5: Solve for x
    x = 7,896,099,600/38,032
  6. Step 6: Final answer
    x = 207,617.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.