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Finding the Third Proportional to 3,543.20 and 7,605.38

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Solution

The third proportional to 3,543.20 and 7,605.38 is: 16,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.20 : 7,605.38 = 7,605.38 : x
  2. Step 2: Convert to fraction form
    3,543.20/7,605.38 = 7,605.38/x
  3. Step 3: Cross multiply
    3,543.20x = 7,605.38 × 7,605.38
  4. Step 4: Simplify right side
    3,543.20x = 57,841,773.45
  5. Step 5: Solve for x
    x = 57,841,773.45/3,543.20
  6. Step 6: Final answer
    x = 16,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.