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Finding the Third Proportional to 10,571 and 14,239

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Solution

The third proportional to 10,571 and 14,239 is: 19,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571 : 14,239 = 14,239 : x
  2. Step 2: Convert to fraction form
    10,571/14,239 = 14,239/x
  3. Step 3: Cross multiply
    10,571x = 14,239 × 14,239
  4. Step 4: Simplify right side
    10,571x = 202,749,121
  5. Step 5: Solve for x
    x = 202,749,121/10,571
  6. Step 6: Final answer
    x = 19,179.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.