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Finding the Third Proportional to 2,890.27 and 6,348.80

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Solution

The third proportional to 2,890.27 and 6,348.80 is: 13,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.27 : 6,348.80 = 6,348.80 : x
  2. Step 2: Convert to fraction form
    2,890.27/6,348.80 = 6,348.80/x
  3. Step 3: Cross multiply
    2,890.27x = 6,348.80 × 6,348.80
  4. Step 4: Simplify right side
    2,890.27x = 40,307,221.76
  5. Step 5: Solve for x
    x = 40,307,221.76/2,890.27
  6. Step 6: Final answer
    x = 13,945.85

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