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Finding the Third Proportional to 5,186.53 and 5,591.53

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Solution

The third proportional to 5,186.53 and 5,591.53 is: 6,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.53 : 5,591.53 = 5,591.53 : x
  2. Step 2: Convert to fraction form
    5,186.53/5,591.53 = 5,591.53/x
  3. Step 3: Cross multiply
    5,186.53x = 5,591.53 × 5,591.53
  4. Step 4: Simplify right side
    5,186.53x = 31,265,221.72
  5. Step 5: Solve for x
    x = 31,265,221.72/5,186.53
  6. Step 6: Final answer
    x = 6,028.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.