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Finding the Third Proportional to 5,074.52 and 7,671.59

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Solution

The third proportional to 5,074.52 and 7,671.59 is: 11,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.52 : 7,671.59 = 7,671.59 : x
  2. Step 2: Convert to fraction form
    5,074.52/7,671.59 = 7,671.59/x
  3. Step 3: Cross multiply
    5,074.52x = 7,671.59 × 7,671.59
  4. Step 4: Simplify right side
    5,074.52x = 58,853,230.80
  5. Step 5: Solve for x
    x = 58,853,230.80/5,074.52
  6. Step 6: Final answer
    x = 11,597.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.