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Finding the Third Proportional to 5,077.69 and 6,004.13

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Solution

The third proportional to 5,077.69 and 6,004.13 is: 7,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.69 : 6,004.13 = 6,004.13 : x
  2. Step 2: Convert to fraction form
    5,077.69/6,004.13 = 6,004.13/x
  3. Step 3: Cross multiply
    5,077.69x = 6,004.13 × 6,004.13
  4. Step 4: Simplify right side
    5,077.69x = 36,049,517.02
  5. Step 5: Solve for x
    x = 36,049,517.02/5,077.69
  6. Step 6: Final answer
    x = 7,099.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.