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Finding the Third Proportional to 37.75 and 56.50

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Solution

The third proportional to 37.75 and 56.50 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.75 : 56.50 = 56.50 : x
  2. Step 2: Convert to fraction form
    37.75/56.50 = 56.50/x
  3. Step 3: Cross multiply
    37.75x = 56.50 × 56.50
  4. Step 4: Simplify right side
    37.75x = 3,192.25
  5. Step 5: Solve for x
    x = 3,192.25/37.75
  6. Step 6: Final answer
    x = 84.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.