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Finding the Third Proportional to 26,431 and 57,217

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Solution

The third proportional to 26,431 and 57,217 is: 123,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431 : 57,217 = 57,217 : x
  2. Step 2: Convert to fraction form
    26,431/57,217 = 57,217/x
  3. Step 3: Cross multiply
    26,431x = 57,217 × 57,217
  4. Step 4: Simplify right side
    26,431x = 3,273,785,089
  5. Step 5: Solve for x
    x = 3,273,785,089/26,431
  6. Step 6: Final answer
    x = 123,861.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.