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Finding the Third Proportional to 681.75 and 967.13

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Solution

The third proportional to 681.75 and 967.13 is: 1,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.75 : 967.13 = 967.13 : x
  2. Step 2: Convert to fraction form
    681.75/967.13 = 967.13/x
  3. Step 3: Cross multiply
    681.75x = 967.13 × 967.13
  4. Step 4: Simplify right side
    681.75x = 935,330.77
  5. Step 5: Solve for x
    x = 935,330.77/681.75
  6. Step 6: Final answer
    x = 1,371.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.