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Finding the Third Proportional to 21,384 and 33,548

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Solution

The third proportional to 21,384 and 33,548 is: 52,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 33,548 = 33,548 : x
  2. Step 2: Convert to fraction form
    21,384/33,548 = 33,548/x
  3. Step 3: Cross multiply
    21,384x = 33,548 × 33,548
  4. Step 4: Simplify right side
    21,384x = 1,125,468,304
  5. Step 5: Solve for x
    x = 1,125,468,304/21,384
  6. Step 6: Final answer
    x = 52,631.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.