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Finding the Third Proportional to 14.24 and 31.01

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Solution

The third proportional to 14.24 and 31.01 is: 67.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 31.01 = 31.01 : x
  2. Step 2: Convert to fraction form
    14.24/31.01 = 31.01/x
  3. Step 3: Cross multiply
    14.24x = 31.01 × 31.01
  4. Step 4: Simplify right side
    14.24x = 961.48
  5. Step 5: Solve for x
    x = 961.48/14.24
  6. Step 6: Final answer
    x = 67.53

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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.