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Finding the Third Proportional to 6,226.31 and 13,546.13

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Solution

The third proportional to 6,226.31 and 13,546.13 is: 29,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.31 : 13,546.13 = 13,546.13 : x
  2. Step 2: Convert to fraction form
    6,226.31/13,546.13 = 13,546.13/x
  3. Step 3: Cross multiply
    6,226.31x = 13,546.13 × 13,546.13
  4. Step 4: Simplify right side
    6,226.31x = 183,497,502.52
  5. Step 5: Solve for x
    x = 183,497,502.52/6,226.31
  6. Step 6: Final answer
    x = 29,471.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.