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Finding the Third Proportional to 876.38 and 1,889.38

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Solution

The third proportional to 876.38 and 1,889.38 is: 4,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.38 : 1,889.38 = 1,889.38 : x
  2. Step 2: Convert to fraction form
    876.38/1,889.38 = 1,889.38/x
  3. Step 3: Cross multiply
    876.38x = 1,889.38 × 1,889.38
  4. Step 4: Simplify right side
    876.38x = 3,569,737.89
  5. Step 5: Solve for x
    x = 3,569,737.89/876.38
  6. Step 6: Final answer
    x = 4,073.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.