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Finding the Third Proportional to 781.45 and 1,693.13

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Solution

The third proportional to 781.45 and 1,693.13 is: 3,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.45 : 1,693.13 = 1,693.13 : x
  2. Step 2: Convert to fraction form
    781.45/1,693.13 = 1,693.13/x
  3. Step 3: Cross multiply
    781.45x = 1,693.13 × 1,693.13
  4. Step 4: Simplify right side
    781.45x = 2,866,672.27
  5. Step 5: Solve for x
    x = 2,866,672.27/781.45
  6. Step 6: Final answer
    x = 3,668.39

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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.