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Finding the Third Proportional to 10,098 and 15,467

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Solution

The third proportional to 10,098 and 15,467 is: 23,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 15,467 = 15,467 : x
  2. Step 2: Convert to fraction form
    10,098/15,467 = 15,467/x
  3. Step 3: Cross multiply
    10,098x = 15,467 × 15,467
  4. Step 4: Simplify right side
    10,098x = 239,228,089
  5. Step 5: Solve for x
    x = 239,228,089/10,098
  6. Step 6: Final answer
    x = 23,690.64

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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.