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Finding the Third Proportional to 10,042 and 15,332

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Solution

The third proportional to 10,042 and 15,332 is: 23,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042 : 15,332 = 15,332 : x
  2. Step 2: Convert to fraction form
    10,042/15,332 = 15,332/x
  3. Step 3: Cross multiply
    10,042x = 15,332 × 15,332
  4. Step 4: Simplify right side
    10,042x = 235,070,224
  5. Step 5: Solve for x
    x = 235,070,224/10,042
  6. Step 6: Final answer
    x = 23,408.71

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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.