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Finding the Third Proportional to 15.89 and 24.75

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Solution

The third proportional to 15.89 and 24.75 is: 38.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.89 : 24.75 = 24.75 : x
  2. Step 2: Convert to fraction form
    15.89/24.75 = 24.75/x
  3. Step 3: Cross multiply
    15.89x = 24.75 × 24.75
  4. Step 4: Simplify right side
    15.89x = 612.56
  5. Step 5: Solve for x
    x = 612.56/15.89
  6. Step 6: Final answer
    x = 38.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.