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Finding the Third Proportional to 10,272 and 18,560

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Solution

The third proportional to 10,272 and 18,560 is: 33,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 18,560 = 18,560 : x
  2. Step 2: Convert to fraction form
    10,272/18,560 = 18,560/x
  3. Step 3: Cross multiply
    10,272x = 18,560 × 18,560
  4. Step 4: Simplify right side
    10,272x = 344,473,600
  5. Step 5: Solve for x
    x = 344,473,600/10,272
  6. Step 6: Final answer
    x = 33,535.20

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.