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Finding the Third Proportional to 1,350.84 and 3,142.55

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Solution

The third proportional to 1,350.84 and 3,142.55 is: 7,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.84 : 3,142.55 = 3,142.55 : x
  2. Step 2: Convert to fraction form
    1,350.84/3,142.55 = 3,142.55/x
  3. Step 3: Cross multiply
    1,350.84x = 3,142.55 × 3,142.55
  4. Step 4: Simplify right side
    1,350.84x = 9,875,600.86
  5. Step 5: Solve for x
    x = 9,875,600.86/1,350.84
  6. Step 6: Final answer
    x = 7,310.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.