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Finding the Third Proportional to 36,404 and 54,862

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Solution

The third proportional to 36,404 and 54,862 is: 82,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,404 : 54,862 = 54,862 : x
  2. Step 2: Convert to fraction form
    36,404/54,862 = 54,862/x
  3. Step 3: Cross multiply
    36,404x = 54,862 × 54,862
  4. Step 4: Simplify right side
    36,404x = 3,009,839,044
  5. Step 5: Solve for x
    x = 3,009,839,044/36,404
  6. Step 6: Final answer
    x = 82,678.80

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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.