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Finding the Third Proportional to 6,387.19 and 14,247.56

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Solution

The third proportional to 6,387.19 and 14,247.56 is: 31,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.19 : 14,247.56 = 14,247.56 : x
  2. Step 2: Convert to fraction form
    6,387.19/14,247.56 = 14,247.56/x
  3. Step 3: Cross multiply
    6,387.19x = 14,247.56 × 14,247.56
  4. Step 4: Simplify right side
    6,387.19x = 202,993,037.19
  5. Step 5: Solve for x
    x = 202,993,037.19/6,387.19
  6. Step 6: Final answer
    x = 31,781.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.