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Finding the Third Proportional to 37.24 and 56.66

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Solution

The third proportional to 37.24 and 56.66 is: 86.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.24 : 56.66 = 56.66 : x
  2. Step 2: Convert to fraction form
    37.24/56.66 = 56.66/x
  3. Step 3: Cross multiply
    37.24x = 56.66 × 56.66
  4. Step 4: Simplify right side
    37.24x = 3,210.80
  5. Step 5: Solve for x
    x = 3,210.80/37.24
  6. Step 6: Final answer
    x = 86.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.