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Finding the Third Proportional to 6,186.38 and 13,597.88

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Solution

The third proportional to 6,186.38 and 13,597.88 is: 29,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.38 : 13,597.88 = 13,597.88 : x
  2. Step 2: Convert to fraction form
    6,186.38/13,597.88 = 13,597.88/x
  3. Step 3: Cross multiply
    6,186.38x = 13,597.88 × 13,597.88
  4. Step 4: Simplify right side
    6,186.38x = 184,902,204.52
  5. Step 5: Solve for x
    x = 184,902,204.52/6,186.38
  6. Step 6: Final answer
    x = 29,888.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.