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Finding the Third Proportional to 36,612 and 54,914

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Solution

The third proportional to 36,612 and 54,914 is: 82,365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,612 : 54,914 = 54,914 : x
  2. Step 2: Convert to fraction form
    36,612/54,914 = 54,914/x
  3. Step 3: Cross multiply
    36,612x = 54,914 × 54,914
  4. Step 4: Simplify right side
    36,612x = 3,015,547,396
  5. Step 5: Solve for x
    x = 3,015,547,396/36,612
  6. Step 6: Final answer
    x = 82,365.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.