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Finding the Third Proportional to 15.70 and 22.69

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Solution

The third proportional to 15.70 and 22.69 is: 32.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.70 : 22.69 = 22.69 : x
  2. Step 2: Convert to fraction form
    15.70/22.69 = 22.69/x
  3. Step 3: Cross multiply
    15.70x = 22.69 × 22.69
  4. Step 4: Simplify right side
    15.70x = 514.72
  5. Step 5: Solve for x
    x = 514.72/15.70
  6. Step 6: Final answer
    x = 32.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.