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Finding the Third Proportional to 943.31 and 1,377.84

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Solution

The third proportional to 943.31 and 1,377.84 is: 2,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.31 : 1,377.84 = 1,377.84 : x
  2. Step 2: Convert to fraction form
    943.31/1,377.84 = 1,377.84/x
  3. Step 3: Cross multiply
    943.31x = 1,377.84 × 1,377.84
  4. Step 4: Simplify right side
    943.31x = 1,898,453.40
  5. Step 5: Solve for x
    x = 1,898,453.40/943.31
  6. Step 6: Final answer
    x = 2,012.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.