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Finding the Third Proportional to 13.70 and 29.54

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Solution

The third proportional to 13.70 and 29.54 is: 63.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.70 : 29.54 = 29.54 : x
  2. Step 2: Convert to fraction form
    13.70/29.54 = 29.54/x
  3. Step 3: Cross multiply
    13.70x = 29.54 × 29.54
  4. Step 4: Simplify right side
    13.70x = 872.71
  5. Step 5: Solve for x
    x = 872.71/13.70
  6. Step 6: Final answer
    x = 63.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.