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Finding the Third Proportional to 1,323.28 and 2,828.72

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Solution

The third proportional to 1,323.28 and 2,828.72 is: 6,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.28 : 2,828.72 = 2,828.72 : x
  2. Step 2: Convert to fraction form
    1,323.28/2,828.72 = 2,828.72/x
  3. Step 3: Cross multiply
    1,323.28x = 2,828.72 × 2,828.72
  4. Step 4: Simplify right side
    1,323.28x = 8,001,649.77
  5. Step 5: Solve for x
    x = 8,001,649.77/1,323.28
  6. Step 6: Final answer
    x = 6,046.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.