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Finding the Third Proportional to 27,550 and 56,552

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Solution

The third proportional to 27,550 and 56,552 is: 116,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,550 : 56,552 = 56,552 : x
  2. Step 2: Convert to fraction form
    27,550/56,552 = 56,552/x
  3. Step 3: Cross multiply
    27,550x = 56,552 × 56,552
  4. Step 4: Simplify right side
    27,550x = 3,198,128,704
  5. Step 5: Solve for x
    x = 3,198,128,704/27,550
  6. Step 6: Final answer
    x = 116,084.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.