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Finding the Third Proportional to 1,128.25 and 2,384.75

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Solution

The third proportional to 1,128.25 and 2,384.75 is: 5,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.25 : 2,384.75 = 2,384.75 : x
  2. Step 2: Convert to fraction form
    1,128.25/2,384.75 = 2,384.75/x
  3. Step 3: Cross multiply
    1,128.25x = 2,384.75 × 2,384.75
  4. Step 4: Simplify right side
    1,128.25x = 5,687,032.56
  5. Step 5: Solve for x
    x = 5,687,032.56/1,128.25
  6. Step 6: Final answer
    x = 5,040.58

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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.