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Finding the Third Proportional to 36,776 and 54,890

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Solution

The third proportional to 36,776 and 54,890 is: 81,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776 : 54,890 = 54,890 : x
  2. Step 2: Convert to fraction form
    36,776/54,890 = 54,890/x
  3. Step 3: Cross multiply
    36,776x = 54,890 × 54,890
  4. Step 4: Simplify right side
    36,776x = 3,012,912,100
  5. Step 5: Solve for x
    x = 3,012,912,100/36,776
  6. Step 6: Final answer
    x = 81,926.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.