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Finding the Third Proportional to 38,416 and 88,902

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Solution

The third proportional to 38,416 and 88,902 is: 205,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416 : 88,902 = 88,902 : x
  2. Step 2: Convert to fraction form
    38,416/88,902 = 88,902/x
  3. Step 3: Cross multiply
    38,416x = 88,902 × 88,902
  4. Step 4: Simplify right side
    38,416x = 7,903,565,604
  5. Step 5: Solve for x
    x = 7,903,565,604/38,416
  6. Step 6: Final answer
    x = 205,736.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.