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Finding the Third Proportional to 29.53 and 67.78

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Solution

The third proportional to 29.53 and 67.78 is: 155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.53 : 67.78 = 67.78 : x
  2. Step 2: Convert to fraction form
    29.53/67.78 = 67.78/x
  3. Step 3: Cross multiply
    29.53x = 67.78 × 67.78
  4. Step 4: Simplify right side
    29.53x = 4,594.30
  5. Step 5: Solve for x
    x = 4,594.30/29.53
  6. Step 6: Final answer
    x = 155.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.