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Finding the Third Proportional to 15.12 and 17.80

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Solution

The third proportional to 15.12 and 17.80 is: 20.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.12 : 17.80 = 17.80 : x
  2. Step 2: Convert to fraction form
    15.12/17.80 = 17.80/x
  3. Step 3: Cross multiply
    15.12x = 17.80 × 17.80
  4. Step 4: Simplify right side
    15.12x = 316.81
  5. Step 5: Solve for x
    x = 316.81/15.12
  6. Step 6: Final answer
    x = 20.96

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.