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Finding the Third Proportional to 26,799 and 58,782

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Solution

The third proportional to 26,799 and 58,782 is: 128,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,799 : 58,782 = 58,782 : x
  2. Step 2: Convert to fraction form
    26,799/58,782 = 58,782/x
  3. Step 3: Cross multiply
    26,799x = 58,782 × 58,782
  4. Step 4: Simplify right side
    26,799x = 3,455,323,524
  5. Step 5: Solve for x
    x = 3,455,323,524/26,799
  6. Step 6: Final answer
    x = 128,934.79

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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.