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Finding the Third Proportional to 27.50 and 37

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Solution

The third proportional to 27.50 and 37 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.50 : 37 = 37 : x
  2. Step 2: Convert to fraction form
    27.50/37 = 37/x
  3. Step 3: Cross multiply
    27.50x = 37 × 37
  4. Step 4: Simplify right side
    27.50x = 1,369
  5. Step 5: Solve for x
    x = 1,369/27.50
  6. Step 6: Final answer
    x = 49.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.