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Finding the Third Proportional to 38,902 and 55,049

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Solution

The third proportional to 38,902 and 55,049 is: 77,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902 : 55,049 = 55,049 : x
  2. Step 2: Convert to fraction form
    38,902/55,049 = 55,049/x
  3. Step 3: Cross multiply
    38,902x = 55,049 × 55,049
  4. Step 4: Simplify right side
    38,902x = 3,030,392,401
  5. Step 5: Solve for x
    x = 3,030,392,401/38,902
  6. Step 6: Final answer
    x = 77,898.11

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.