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Finding the Third Proportional to 17,776 and 38,552

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Solution

The third proportional to 17,776 and 38,552 is: 83,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776 : 38,552 = 38,552 : x
  2. Step 2: Convert to fraction form
    17,776/38,552 = 38,552/x
  3. Step 3: Cross multiply
    17,776x = 38,552 × 38,552
  4. Step 4: Simplify right side
    17,776x = 1,486,256,704
  5. Step 5: Solve for x
    x = 1,486,256,704/17,776
  6. Step 6: Final answer
    x = 83,610.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.