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Finding the Third Proportional to 733.11 and 1,095.71

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Solution

The third proportional to 733.11 and 1,095.71 is: 1,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.11 : 1,095.71 = 1,095.71 : x
  2. Step 2: Convert to fraction form
    733.11/1,095.71 = 1,095.71/x
  3. Step 3: Cross multiply
    733.11x = 1,095.71 × 1,095.71
  4. Step 4: Simplify right side
    733.11x = 1,200,591.02
  5. Step 5: Solve for x
    x = 1,200,591.02/733.11
  6. Step 6: Final answer
    x = 1,637.66

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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.