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Finding the Third Proportional to 37.55 and 56.11

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Solution

The third proportional to 37.55 and 56.11 is: 83.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.55 : 56.11 = 56.11 : x
  2. Step 2: Convert to fraction form
    37.55/56.11 = 56.11/x
  3. Step 3: Cross multiply
    37.55x = 56.11 × 56.11
  4. Step 4: Simplify right side
    37.55x = 3,148.26
  5. Step 5: Solve for x
    x = 3,148.26/37.55
  6. Step 6: Final answer
    x = 83.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.