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Finding the Third Proportional to 21,616.88 and 33,382.13

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Solution

The third proportional to 21,616.88 and 33,382.13 is: 51,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.88 : 33,382.13 = 33,382.13 : x
  2. Step 2: Convert to fraction form
    21,616.88/33,382.13 = 33,382.13/x
  3. Step 3: Cross multiply
    21,616.88x = 33,382.13 × 33,382.13
  4. Step 4: Simplify right side
    21,616.88x = 1,114,366,269.52
  5. Step 5: Solve for x
    x = 1,114,366,269.52/21,616.88
  6. Step 6: Final answer
    x = 51,550.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.