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Finding the Third Proportional to 2,712.66 and 6,279.19

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Solution

The third proportional to 2,712.66 and 6,279.19 is: 14,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.66 : 6,279.19 = 6,279.19 : x
  2. Step 2: Convert to fraction form
    2,712.66/6,279.19 = 6,279.19/x
  3. Step 3: Cross multiply
    2,712.66x = 6,279.19 × 6,279.19
  4. Step 4: Simplify right side
    2,712.66x = 39,428,195.66
  5. Step 5: Solve for x
    x = 39,428,195.66/2,712.66
  6. Step 6: Final answer
    x = 14,534.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.