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Finding the Third Proportional to 38,982 and 91,098

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Solution

The third proportional to 38,982 and 91,098 is: 212,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982 : 91,098 = 91,098 : x
  2. Step 2: Convert to fraction form
    38,982/91,098 = 91,098/x
  3. Step 3: Cross multiply
    38,982x = 91,098 × 91,098
  4. Step 4: Simplify right side
    38,982x = 8,298,845,604
  5. Step 5: Solve for x
    x = 8,298,845,604/38,982
  6. Step 6: Final answer
    x = 212,889.17

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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.