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Finding the Third Proportional to 12,098 and 17,787

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Solution

The third proportional to 12,098 and 17,787 is: 26,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098 : 17,787 = 17,787 : x
  2. Step 2: Convert to fraction form
    12,098/17,787 = 17,787/x
  3. Step 3: Cross multiply
    12,098x = 17,787 × 17,787
  4. Step 4: Simplify right side
    12,098x = 316,377,369
  5. Step 5: Solve for x
    x = 316,377,369/12,098
  6. Step 6: Final answer
    x = 26,151.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.