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Finding the Third Proportional to 14.24 and 30.69

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Solution

The third proportional to 14.24 and 30.69 is: 66.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 30.69 = 30.69 : x
  2. Step 2: Convert to fraction form
    14.24/30.69 = 30.69/x
  3. Step 3: Cross multiply
    14.24x = 30.69 × 30.69
  4. Step 4: Simplify right side
    14.24x = 941.96
  5. Step 5: Solve for x
    x = 941.96/14.24
  6. Step 6: Final answer
    x = 66.16

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1.5x scale

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.