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Finding the Third Proportional to 4,240.13 and 6,195.38

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Solution

The third proportional to 4,240.13 and 6,195.38 is: 9,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.13 : 6,195.38 = 6,195.38 : x
  2. Step 2: Convert to fraction form
    4,240.13/6,195.38 = 6,195.38/x
  3. Step 3: Cross multiply
    4,240.13x = 6,195.38 × 6,195.38
  4. Step 4: Simplify right side
    4,240.13x = 38,382,671.39
  5. Step 5: Solve for x
    x = 38,382,671.39/4,240.13
  6. Step 6: Final answer
    x = 9,052.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.