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Finding the Third Proportional to 15.81 and 23.80

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Solution

The third proportional to 15.81 and 23.80 is: 35.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.81 : 23.80 = 23.80 : x
  2. Step 2: Convert to fraction form
    15.81/23.80 = 23.80/x
  3. Step 3: Cross multiply
    15.81x = 23.80 × 23.80
  4. Step 4: Simplify right side
    15.81x = 566.29
  5. Step 5: Solve for x
    x = 566.29/15.81
  6. Step 6: Final answer
    x = 35.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.