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Finding the Third Proportional to 15.50 and 27.88

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Solution

The third proportional to 15.50 and 27.88 is: 50.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.50 : 27.88 = 27.88 : x
  2. Step 2: Convert to fraction form
    15.50/27.88 = 27.88/x
  3. Step 3: Cross multiply
    15.50x = 27.88 × 27.88
  4. Step 4: Simplify right side
    15.50x = 777.02
  5. Step 5: Solve for x
    x = 777.02/15.50
  6. Step 6: Final answer
    x = 50.13

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.