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Finding the Third Proportional to 14.24 and 31.32

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Solution

The third proportional to 14.24 and 31.32 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 31.32 = 31.32 : x
  2. Step 2: Convert to fraction form
    14.24/31.32 = 31.32/x
  3. Step 3: Cross multiply
    14.24x = 31.32 × 31.32
  4. Step 4: Simplify right side
    14.24x = 981.21
  5. Step 5: Solve for x
    x = 981.21/14.24
  6. Step 6: Final answer
    x = 68.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.