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Finding the Third Proportional to 5,434.88 and 7,279.75

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Solution

The third proportional to 5,434.88 and 7,279.75 is: 9,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.88 : 7,279.75 = 7,279.75 : x
  2. Step 2: Convert to fraction form
    5,434.88/7,279.75 = 7,279.75/x
  3. Step 3: Cross multiply
    5,434.88x = 7,279.75 × 7,279.75
  4. Step 4: Simplify right side
    5,434.88x = 52,994,760.06
  5. Step 5: Solve for x
    x = 52,994,760.06/5,434.88
  6. Step 6: Final answer
    x = 9,750.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.