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Finding the Third Proportional to 1,693.41 and 2,247.47

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Solution

The third proportional to 1,693.41 and 2,247.47 is: 2,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.41 : 2,247.47 = 2,247.47 : x
  2. Step 2: Convert to fraction form
    1,693.41/2,247.47 = 2,247.47/x
  3. Step 3: Cross multiply
    1,693.41x = 2,247.47 × 2,247.47
  4. Step 4: Simplify right side
    1,693.41x = 5,051,115.78
  5. Step 5: Solve for x
    x = 5,051,115.78/1,693.41
  6. Step 6: Final answer
    x = 2,982.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.