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Finding the Third Proportional to 37.89 and 56.72

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Solution

The third proportional to 37.89 and 56.72 is: 84.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.89 : 56.72 = 56.72 : x
  2. Step 2: Convert to fraction form
    37.89/56.72 = 56.72/x
  3. Step 3: Cross multiply
    37.89x = 56.72 × 56.72
  4. Step 4: Simplify right side
    37.89x = 3,216.68
  5. Step 5: Solve for x
    x = 3,216.68/37.89
  6. Step 6: Final answer
    x = 84.90

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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.