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Finding the Third Proportional to 9,098 and 13,891

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Solution

The third proportional to 9,098 and 13,891 is: 21,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098 : 13,891 = 13,891 : x
  2. Step 2: Convert to fraction form
    9,098/13,891 = 13,891/x
  3. Step 3: Cross multiply
    9,098x = 13,891 × 13,891
  4. Step 4: Simplify right side
    9,098x = 192,959,881
  5. Step 5: Solve for x
    x = 192,959,881/9,098
  6. Step 6: Final answer
    x = 21,209.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.