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Finding the Third Proportional to 27,648 and 61,552

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Solution

The third proportional to 27,648 and 61,552 is: 137,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648 : 61,552 = 61,552 : x
  2. Step 2: Convert to fraction form
    27,648/61,552 = 61,552/x
  3. Step 3: Cross multiply
    27,648x = 61,552 × 61,552
  4. Step 4: Simplify right side
    27,648x = 3,788,648,704
  5. Step 5: Solve for x
    x = 3,788,648,704/27,648
  6. Step 6: Final answer
    x = 137,031.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.