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Finding the Third Proportional to 37.02 and 81.16

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Solution

The third proportional to 37.02 and 81.16 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 81.16 = 81.16 : x
  2. Step 2: Convert to fraction form
    37.02/81.16 = 81.16/x
  3. Step 3: Cross multiply
    37.02x = 81.16 × 81.16
  4. Step 4: Simplify right side
    37.02x = 6,586.65
  5. Step 5: Solve for x
    x = 6,586.65/37.02
  6. Step 6: Final answer
    x = 177.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.