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Finding the Third Proportional to 3,597.38 and 7,861.88

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Solution

The third proportional to 3,597.38 and 7,861.88 is: 17,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.38 : 7,861.88 = 7,861.88 : x
  2. Step 2: Convert to fraction form
    3,597.38/7,861.88 = 7,861.88/x
  3. Step 3: Cross multiply
    3,597.38x = 7,861.88 × 7,861.88
  4. Step 4: Simplify right side
    3,597.38x = 61,809,078.52
  5. Step 5: Solve for x
    x = 61,809,078.52/3,597.38
  6. Step 6: Final answer
    x = 17,181.72

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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.