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Finding the Third Proportional to 26,366 and 57,596

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Solution

The third proportional to 26,366 and 57,596 is: 125,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,366 : 57,596 = 57,596 : x
  2. Step 2: Convert to fraction form
    26,366/57,596 = 57,596/x
  3. Step 3: Cross multiply
    26,366x = 57,596 × 57,596
  4. Step 4: Simplify right side
    26,366x = 3,317,299,216
  5. Step 5: Solve for x
    x = 3,317,299,216/26,366
  6. Step 6: Final answer
    x = 125,817.31

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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.