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Finding the Third Proportional to 29.60 and 62.93

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Solution

The third proportional to 29.60 and 62.93 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.60 : 62.93 = 62.93 : x
  2. Step 2: Convert to fraction form
    29.60/62.93 = 62.93/x
  3. Step 3: Cross multiply
    29.60x = 62.93 × 62.93
  4. Step 4: Simplify right side
    29.60x = 3,960.15
  5. Step 5: Solve for x
    x = 3,960.15/29.60
  6. Step 6: Final answer
    x = 133.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.