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Finding the Third Proportional to 13.46 and 29.30

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Solution

The third proportional to 13.46 and 29.30 is: 63.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.46 : 29.30 = 29.30 : x
  2. Step 2: Convert to fraction form
    13.46/29.30 = 29.30/x
  3. Step 3: Cross multiply
    13.46x = 29.30 × 29.30
  4. Step 4: Simplify right side
    13.46x = 858.24
  5. Step 5: Solve for x
    x = 858.24/13.46
  6. Step 6: Final answer
    x = 63.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.