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Finding the Third Proportional to 33,556.78 and 47,419.17

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Solution

The third proportional to 33,556.78 and 47,419.17 is: 67,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,556.78 : 47,419.17 = 47,419.17 : x
  2. Step 2: Convert to fraction form
    33,556.78/47,419.17 = 47,419.17/x
  3. Step 3: Cross multiply
    33,556.78x = 47,419.17 × 47,419.17
  4. Step 4: Simplify right side
    33,556.78x = 2,248,577,861.31
  5. Step 5: Solve for x
    x = 2,248,577,861.31/33,556.78
  6. Step 6: Final answer
    x = 67,008.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.