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Finding the Third Proportional to 1,264.22 and 2,672.58

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Solution

The third proportional to 1,264.22 and 2,672.58 is: 5,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.22 : 2,672.58 = 2,672.58 : x
  2. Step 2: Convert to fraction form
    1,264.22/2,672.58 = 2,672.58/x
  3. Step 3: Cross multiply
    1,264.22x = 2,672.58 × 2,672.58
  4. Step 4: Simplify right side
    1,264.22x = 7,142,673.83
  5. Step 5: Solve for x
    x = 7,142,673.83/1,264.22
  6. Step 6: Final answer
    x = 5,649.87

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.