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Finding the Third Proportional to 21,633 and 32,895

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Solution

The third proportional to 21,633 and 32,895 is: 50,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633 : 32,895 = 32,895 : x
  2. Step 2: Convert to fraction form
    21,633/32,895 = 32,895/x
  3. Step 3: Cross multiply
    21,633x = 32,895 × 32,895
  4. Step 4: Simplify right side
    21,633x = 1,082,081,025
  5. Step 5: Solve for x
    x = 1,082,081,025/21,633
  6. Step 6: Final answer
    x = 50,019.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.