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Finding the Third Proportional to 27,034 and 43,049

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Solution

The third proportional to 27,034 and 43,049 is: 68,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,034 : 43,049 = 43,049 : x
  2. Step 2: Convert to fraction form
    27,034/43,049 = 43,049/x
  3. Step 3: Cross multiply
    27,034x = 43,049 × 43,049
  4. Step 4: Simplify right side
    27,034x = 1,853,216,401
  5. Step 5: Solve for x
    x = 1,853,216,401/27,034
  6. Step 6: Final answer
    x = 68,551.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.