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Finding the Third Proportional to 1,251.75 and 1,877.75

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Solution

The third proportional to 1,251.75 and 1,877.75 is: 2,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.75 : 1,877.75 = 1,877.75 : x
  2. Step 2: Convert to fraction form
    1,251.75/1,877.75 = 1,877.75/x
  3. Step 3: Cross multiply
    1,251.75x = 1,877.75 × 1,877.75
  4. Step 4: Simplify right side
    1,251.75x = 3,525,945.06
  5. Step 5: Solve for x
    x = 3,525,945.06/1,251.75
  6. Step 6: Final answer
    x = 2,816.81

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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.