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Finding the Third Proportional to 40 and 68.13

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Solution

The third proportional to 40 and 68.13 is: 116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 68.13 = 68.13 : x
  2. Step 2: Convert to fraction form
    40/68.13 = 68.13/x
  3. Step 3: Cross multiply
    40x = 68.13 × 68.13
  4. Step 4: Simplify right side
    40x = 4,641.02
  5. Step 5: Solve for x
    x = 4,641.02/40
  6. Step 6: Final answer
    x = 116.03

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.