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Finding the Third Proportional to 45.33 and 68.02

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Solution

The third proportional to 45.33 and 68.02 is: 102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.33 : 68.02 = 68.02 : x
  2. Step 2: Convert to fraction form
    45.33/68.02 = 68.02/x
  3. Step 3: Cross multiply
    45.33x = 68.02 × 68.02
  4. Step 4: Simplify right side
    45.33x = 4,626.13
  5. Step 5: Solve for x
    x = 4,626.13/45.33
  6. Step 6: Final answer
    x = 102.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.