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Finding the Third Proportional to 14,219 and 33,218

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Solution

The third proportional to 14,219 and 33,218 is: 77,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219 : 33,218 = 33,218 : x
  2. Step 2: Convert to fraction form
    14,219/33,218 = 33,218/x
  3. Step 3: Cross multiply
    14,219x = 33,218 × 33,218
  4. Step 4: Simplify right side
    14,219x = 1,103,435,524
  5. Step 5: Solve for x
    x = 1,103,435,524/14,219
  6. Step 6: Final answer
    x = 77,602.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.