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Finding the Third Proportional to 16,040 and 33,364

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Solution

The third proportional to 16,040 and 33,364 is: 69,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040 : 33,364 = 33,364 : x
  2. Step 2: Convert to fraction form
    16,040/33,364 = 33,364/x
  3. Step 3: Cross multiply
    16,040x = 33,364 × 33,364
  4. Step 4: Simplify right side
    16,040x = 1,113,156,496
  5. Step 5: Solve for x
    x = 1,113,156,496/16,040
  6. Step 6: Final answer
    x = 69,398.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.