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Finding the Third Proportional to 947.81 and 1,414.41

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Solution

The third proportional to 947.81 and 1,414.41 is: 2,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.81 : 1,414.41 = 1,414.41 : x
  2. Step 2: Convert to fraction form
    947.81/1,414.41 = 1,414.41/x
  3. Step 3: Cross multiply
    947.81x = 1,414.41 × 1,414.41
  4. Step 4: Simplify right side
    947.81x = 2,000,545.04
  5. Step 5: Solve for x
    x = 2,000,545.04/947.81
  6. Step 6: Final answer
    x = 2,110.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.