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Finding the Third Proportional to 37.05 and 48.62

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Solution

The third proportional to 37.05 and 48.62 is: 63.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 48.62 = 48.62 : x
  2. Step 2: Convert to fraction form
    37.05/48.62 = 48.62/x
  3. Step 3: Cross multiply
    37.05x = 48.62 × 48.62
  4. Step 4: Simplify right side
    37.05x = 2,364.35
  5. Step 5: Solve for x
    x = 2,364.35/37.05
  6. Step 6: Final answer
    x = 63.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.