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Finding the Third Proportional to 26,439 and 57,617

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Solution

The third proportional to 26,439 and 57,617 is: 125,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,439 : 57,617 = 57,617 : x
  2. Step 2: Convert to fraction form
    26,439/57,617 = 57,617/x
  3. Step 3: Cross multiply
    26,439x = 57,617 × 57,617
  4. Step 4: Simplify right side
    26,439x = 3,319,718,689
  5. Step 5: Solve for x
    x = 3,319,718,689/26,439
  6. Step 6: Final answer
    x = 125,561.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.