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Finding the Third Proportional to 15.50 and 29.69

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Solution

The third proportional to 15.50 and 29.69 is: 56.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.50 : 29.69 = 29.69 : x
  2. Step 2: Convert to fraction form
    15.50/29.69 = 29.69/x
  3. Step 3: Cross multiply
    15.50x = 29.69 × 29.69
  4. Step 4: Simplify right side
    15.50x = 881.35
  5. Step 5: Solve for x
    x = 881.35/15.50
  6. Step 6: Final answer
    x = 56.86

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.