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Finding the Third Proportional to 26,169.75 and 57,287.25

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Solution

The third proportional to 26,169.75 and 57,287.25 is: 125,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,169.75 : 57,287.25 = 57,287.25 : x
  2. Step 2: Convert to fraction form
    26,169.75/57,287.25 = 57,287.25/x
  3. Step 3: Cross multiply
    26,169.75x = 57,287.25 × 57,287.25
  4. Step 4: Simplify right side
    26,169.75x = 3,281,829,012.56
  5. Step 5: Solve for x
    x = 3,281,829,012.56/26,169.75
  6. Step 6: Final answer
    x = 125,405.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.