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Finding the Third Proportional to 10,204 and 15,026

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Solution

The third proportional to 10,204 and 15,026 is: 22,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204 : 15,026 = 15,026 : x
  2. Step 2: Convert to fraction form
    10,204/15,026 = 15,026/x
  3. Step 3: Cross multiply
    10,204x = 15,026 × 15,026
  4. Step 4: Simplify right side
    10,204x = 225,780,676
  5. Step 5: Solve for x
    x = 225,780,676/10,204
  6. Step 6: Final answer
    x = 22,126.68

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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.