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Finding the Third Proportional to 33,327 and 79,678.50

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Solution

The third proportional to 33,327 and 79,678.50 is: 190,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,327 : 79,678.50 = 79,678.50 : x
  2. Step 2: Convert to fraction form
    33,327/79,678.50 = 79,678.50/x
  3. Step 3: Cross multiply
    33,327x = 79,678.50 × 79,678.50
  4. Step 4: Simplify right side
    33,327x = 6,348,663,362.25
  5. Step 5: Solve for x
    x = 6,348,663,362.25/33,327
  6. Step 6: Final answer
    x = 190,496.10

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.