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Finding the Third Proportional to 5,372.58 and 7,255.83

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Solution

The third proportional to 5,372.58 and 7,255.83 is: 9,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.58 : 7,255.83 = 7,255.83 : x
  2. Step 2: Convert to fraction form
    5,372.58/7,255.83 = 7,255.83/x
  3. Step 3: Cross multiply
    5,372.58x = 7,255.83 × 7,255.83
  4. Step 4: Simplify right side
    5,372.58x = 52,647,041.78
  5. Step 5: Solve for x
    x = 52,647,041.78/5,372.58
  6. Step 6: Final answer
    x = 9,799.21

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.