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Finding the Third Proportional to 5,337.75 and 8,135.72

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Solution

The third proportional to 5,337.75 and 8,135.72 is: 12,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.75 : 8,135.72 = 8,135.72 : x
  2. Step 2: Convert to fraction form
    5,337.75/8,135.72 = 8,135.72/x
  3. Step 3: Cross multiply
    5,337.75x = 8,135.72 × 8,135.72
  4. Step 4: Simplify right side
    5,337.75x = 66,189,919.58
  5. Step 5: Solve for x
    x = 66,189,919.58/5,337.75
  6. Step 6: Final answer
    x = 12,400.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.