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Finding the Third Proportional to 21,832.88 and 33,816.38

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Solution

The third proportional to 21,832.88 and 33,816.38 is: 52,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.88 : 33,816.38 = 33,816.38 : x
  2. Step 2: Convert to fraction form
    21,832.88/33,816.38 = 33,816.38/x
  3. Step 3: Cross multiply
    21,832.88x = 33,816.38 × 33,816.38
  4. Step 4: Simplify right side
    21,832.88x = 1,143,547,218.14
  5. Step 5: Solve for x
    x = 1,143,547,218.14/21,832.88
  6. Step 6: Final answer
    x = 52,377.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.