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Finding the Third Proportional to 1,468.28 and 2,013.41

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Solution

The third proportional to 1,468.28 and 2,013.41 is: 2,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.28 : 2,013.41 = 2,013.41 : x
  2. Step 2: Convert to fraction form
    1,468.28/2,013.41 = 2,013.41/x
  3. Step 3: Cross multiply
    1,468.28x = 2,013.41 × 2,013.41
  4. Step 4: Simplify right side
    1,468.28x = 4,053,804.73
  5. Step 5: Solve for x
    x = 4,053,804.73/1,468.28
  6. Step 6: Final answer
    x = 2,760.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.