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Finding the Third Proportional to 15.69 and 40.88

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Solution

The third proportional to 15.69 and 40.88 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.69 : 40.88 = 40.88 : x
  2. Step 2: Convert to fraction form
    15.69/40.88 = 40.88/x
  3. Step 3: Cross multiply
    15.69x = 40.88 × 40.88
  4. Step 4: Simplify right side
    15.69x = 1,670.77
  5. Step 5: Solve for x
    x = 1,670.77/15.69
  6. Step 6: Final answer
    x = 106.50

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.