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Finding the Third Proportional to 4,034.42 and 6,135.99

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Solution

The third proportional to 4,034.42 and 6,135.99 is: 9,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.42 : 6,135.99 = 6,135.99 : x
  2. Step 2: Convert to fraction form
    4,034.42/6,135.99 = 6,135.99/x
  3. Step 3: Cross multiply
    4,034.42x = 6,135.99 × 6,135.99
  4. Step 4: Simplify right side
    4,034.42x = 37,650,340.20
  5. Step 5: Solve for x
    x = 37,650,340.20/4,034.42
  6. Step 6: Final answer
    x = 9,332.29

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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.