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Finding the Third Proportional to 13.64 and 31.92

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Solution

The third proportional to 13.64 and 31.92 is: 74.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.64 : 31.92 = 31.92 : x
  2. Step 2: Convert to fraction form
    13.64/31.92 = 31.92/x
  3. Step 3: Cross multiply
    13.64x = 31.92 × 31.92
  4. Step 4: Simplify right side
    13.64x = 1,019.01
  5. Step 5: Solve for x
    x = 1,019.01/13.64
  6. Step 6: Final answer
    x = 74.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.