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Finding the Third Proportional to 37.13 and 54.56

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Solution

The third proportional to 37.13 and 54.56 is: 80.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.13 : 54.56 = 54.56 : x
  2. Step 2: Convert to fraction form
    37.13/54.56 = 54.56/x
  3. Step 3: Cross multiply
    37.13x = 54.56 × 54.56
  4. Step 4: Simplify right side
    37.13x = 2,977.07
  5. Step 5: Solve for x
    x = 2,977.07/37.13
  6. Step 6: Final answer
    x = 80.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.