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Finding the Third Proportional to 36,322 and 54,791

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Solution

The third proportional to 36,322 and 54,791 is: 82,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,322 : 54,791 = 54,791 : x
  2. Step 2: Convert to fraction form
    36,322/54,791 = 54,791/x
  3. Step 3: Cross multiply
    36,322x = 54,791 × 54,791
  4. Step 4: Simplify right side
    36,322x = 3,002,053,681
  5. Step 5: Solve for x
    x = 3,002,053,681/36,322
  6. Step 6: Final answer
    x = 82,651.11

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Why These Related Problems?

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