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Finding the Third Proportional to 37.02 and 82.58

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Solution

The third proportional to 37.02 and 82.58 is: 184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 82.58 = 82.58 : x
  2. Step 2: Convert to fraction form
    37.02/82.58 = 82.58/x
  3. Step 3: Cross multiply
    37.02x = 82.58 × 82.58
  4. Step 4: Simplify right side
    37.02x = 6,819.79
  5. Step 5: Solve for x
    x = 6,819.79/37.02
  6. Step 6: Final answer
    x = 184.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.