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Finding the Third Proportional to 15.56 and 40.97

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Solution

The third proportional to 15.56 and 40.97 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.56 : 40.97 = 40.97 : x
  2. Step 2: Convert to fraction form
    15.56/40.97 = 40.97/x
  3. Step 3: Cross multiply
    15.56x = 40.97 × 40.97
  4. Step 4: Simplify right side
    15.56x = 1,678.44
  5. Step 5: Solve for x
    x = 1,678.44/15.56
  6. Step 6: Final answer
    x = 107.85

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.