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Finding the Third Proportional to 6,186.38 and 13,542.19

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Solution

The third proportional to 6,186.38 and 13,542.19 is: 29,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.38 : 13,542.19 = 13,542.19 : x
  2. Step 2: Convert to fraction form
    6,186.38/13,542.19 = 13,542.19/x
  3. Step 3: Cross multiply
    6,186.38x = 13,542.19 × 13,542.19
  4. Step 4: Simplify right side
    6,186.38x = 183,390,842.29
  5. Step 5: Solve for x
    x = 183,390,842.29/6,186.38
  6. Step 6: Final answer
    x = 29,644.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.