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Finding the Third Proportional to 27,466 and 43,145

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Solution

The third proportional to 27,466 and 43,145 is: 67,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466 : 43,145 = 43,145 : x
  2. Step 2: Convert to fraction form
    27,466/43,145 = 43,145/x
  3. Step 3: Cross multiply
    27,466x = 43,145 × 43,145
  4. Step 4: Simplify right side
    27,466x = 1,861,491,025
  5. Step 5: Solve for x
    x = 1,861,491,025/27,466
  6. Step 6: Final answer
    x = 67,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.