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Finding the Third Proportional to 2,764.31 and 5,672.44

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Solution

The third proportional to 2,764.31 and 5,672.44 is: 11,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.31 : 5,672.44 = 5,672.44 : x
  2. Step 2: Convert to fraction form
    2,764.31/5,672.44 = 5,672.44/x
  3. Step 3: Cross multiply
    2,764.31x = 5,672.44 × 5,672.44
  4. Step 4: Simplify right side
    2,764.31x = 32,176,547.19
  5. Step 5: Solve for x
    x = 32,176,547.19/2,764.31
  6. Step 6: Final answer
    x = 11,639.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.