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Finding the Third Proportional to 18,832 and 40,633

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Solution

The third proportional to 18,832 and 40,633 is: 87,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832 : 40,633 = 40,633 : x
  2. Step 2: Convert to fraction form
    18,832/40,633 = 40,633/x
  3. Step 3: Cross multiply
    18,832x = 40,633 × 40,633
  4. Step 4: Simplify right side
    18,832x = 1,651,040,689
  5. Step 5: Solve for x
    x = 1,651,040,689/18,832
  6. Step 6: Final answer
    x = 87,672.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.