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Finding the Third Proportional to 26,469 and 56,775

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Solution

The third proportional to 26,469 and 56,775 is: 121,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469 : 56,775 = 56,775 : x
  2. Step 2: Convert to fraction form
    26,469/56,775 = 56,775/x
  3. Step 3: Cross multiply
    26,469x = 56,775 × 56,775
  4. Step 4: Simplify right side
    26,469x = 3,223,400,625
  5. Step 5: Solve for x
    x = 3,223,400,625/26,469
  6. Step 6: Final answer
    x = 121,780.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.