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Finding the Third Proportional to 2,543.06 and 5,151.09

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Solution

The third proportional to 2,543.06 and 5,151.09 is: 10,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.06 : 5,151.09 = 5,151.09 : x
  2. Step 2: Convert to fraction form
    2,543.06/5,151.09 = 5,151.09/x
  3. Step 3: Cross multiply
    2,543.06x = 5,151.09 × 5,151.09
  4. Step 4: Simplify right side
    2,543.06x = 26,533,766.82
  5. Step 5: Solve for x
    x = 26,533,766.82/2,543.06
  6. Step 6: Final answer
    x = 10,433.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.