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Finding the Third Proportional to 5,368.78 and 7,182.42

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Solution

The third proportional to 5,368.78 and 7,182.42 is: 9,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.78 : 7,182.42 = 7,182.42 : x
  2. Step 2: Convert to fraction form
    5,368.78/7,182.42 = 7,182.42/x
  3. Step 3: Cross multiply
    5,368.78x = 7,182.42 × 7,182.42
  4. Step 4: Simplify right side
    5,368.78x = 51,587,183.99
  5. Step 5: Solve for x
    x = 51,587,183.99/5,368.78
  6. Step 6: Final answer
    x = 9,608.73

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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.