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Finding the Third Proportional to 15.79 and 24.10

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Solution

The third proportional to 15.79 and 24.10 is: 36.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.79 : 24.10 = 24.10 : x
  2. Step 2: Convert to fraction form
    15.79/24.10 = 24.10/x
  3. Step 3: Cross multiply
    15.79x = 24.10 × 24.10
  4. Step 4: Simplify right side
    15.79x = 580.79
  5. Step 5: Solve for x
    x = 580.79/15.79
  6. Step 6: Final answer
    x = 36.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.