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Finding the Third Proportional to 10,114 and 15,163

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Solution

The third proportional to 10,114 and 15,163 is: 22,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114 : 15,163 = 15,163 : x
  2. Step 2: Convert to fraction form
    10,114/15,163 = 15,163/x
  3. Step 3: Cross multiply
    10,114x = 15,163 × 15,163
  4. Step 4: Simplify right side
    10,114x = 229,916,569
  5. Step 5: Solve for x
    x = 229,916,569/10,114
  6. Step 6: Final answer
    x = 22,732.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.