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Finding the Third Proportional to 801.84 and 1,737.84

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Solution

The third proportional to 801.84 and 1,737.84 is: 3,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.84 : 1,737.84 = 1,737.84 : x
  2. Step 2: Convert to fraction form
    801.84/1,737.84 = 1,737.84/x
  3. Step 3: Cross multiply
    801.84x = 1,737.84 × 1,737.84
  4. Step 4: Simplify right side
    801.84x = 3,020,100.90
  5. Step 5: Solve for x
    x = 3,020,100.90/801.84
  6. Step 6: Final answer
    x = 3,766.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.