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Finding the Third Proportional to 36,220 and 54,574

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Solution

The third proportional to 36,220 and 54,574 is: 82,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,220 : 54,574 = 54,574 : x
  2. Step 2: Convert to fraction form
    36,220/54,574 = 54,574/x
  3. Step 3: Cross multiply
    36,220x = 54,574 × 54,574
  4. Step 4: Simplify right side
    36,220x = 2,978,321,476
  5. Step 5: Solve for x
    x = 2,978,321,476/36,220
  6. Step 6: Final answer
    x = 82,228.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.