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Finding the Third Proportional to 37.84 and 64.54

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Solution

The third proportional to 37.84 and 64.54 is: 110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.84 : 64.54 = 64.54 : x
  2. Step 2: Convert to fraction form
    37.84/64.54 = 64.54/x
  3. Step 3: Cross multiply
    37.84x = 64.54 × 64.54
  4. Step 4: Simplify right side
    37.84x = 4,164.80
  5. Step 5: Solve for x
    x = 4,164.80/37.84
  6. Step 6: Final answer
    x = 110.06

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.