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Finding the Third Proportional to 936.88 and 1,371.15

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Solution

The third proportional to 936.88 and 1,371.15 is: 2,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.88 : 1,371.15 = 1,371.15 : x
  2. Step 2: Convert to fraction form
    936.88/1,371.15 = 1,371.15/x
  3. Step 3: Cross multiply
    936.88x = 1,371.15 × 1,371.15
  4. Step 4: Simplify right side
    936.88x = 1,880,042.68
  5. Step 5: Solve for x
    x = 1,880,042.68/936.88
  6. Step 6: Final answer
    x = 2,006.71

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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.