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Finding the Third Proportional to 1,787.25 and 2,678.25

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Solution

The third proportional to 1,787.25 and 2,678.25 is: 4,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.25 : 2,678.25 = 2,678.25 : x
  2. Step 2: Convert to fraction form
    1,787.25/2,678.25 = 2,678.25/x
  3. Step 3: Cross multiply
    1,787.25x = 2,678.25 × 2,678.25
  4. Step 4: Simplify right side
    1,787.25x = 7,173,023.06
  5. Step 5: Solve for x
    x = 7,173,023.06/1,787.25
  6. Step 6: Final answer
    x = 4,013.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.