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Finding the Third Proportional to 876.94 and 2,351.25

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Solution

The third proportional to 876.94 and 2,351.25 is: 6,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.94 : 2,351.25 = 2,351.25 : x
  2. Step 2: Convert to fraction form
    876.94/2,351.25 = 2,351.25/x
  3. Step 3: Cross multiply
    876.94x = 2,351.25 × 2,351.25
  4. Step 4: Simplify right side
    876.94x = 5,528,376.56
  5. Step 5: Solve for x
    x = 5,528,376.56/876.94
  6. Step 6: Final answer
    x = 6,304.19

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.