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Finding the Third Proportional to 15,768.50 and 26,279.75

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Solution

The third proportional to 15,768.50 and 26,279.75 is: 43,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.50 : 26,279.75 = 26,279.75 : x
  2. Step 2: Convert to fraction form
    15,768.50/26,279.75 = 26,279.75/x
  3. Step 3: Cross multiply
    15,768.50x = 26,279.75 × 26,279.75
  4. Step 4: Simplify right side
    15,768.50x = 690,625,260.06
  5. Step 5: Solve for x
    x = 690,625,260.06/15,768.50
  6. Step 6: Final answer
    x = 43,797.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.