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Finding the Third Proportional to 10,330 and 15,592

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Solution

The third proportional to 10,330 and 15,592 is: 23,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330 : 15,592 = 15,592 : x
  2. Step 2: Convert to fraction form
    10,330/15,592 = 15,592/x
  3. Step 3: Cross multiply
    10,330x = 15,592 × 15,592
  4. Step 4: Simplify right side
    10,330x = 243,110,464
  5. Step 5: Solve for x
    x = 243,110,464/10,330
  6. Step 6: Final answer
    x = 23,534.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.