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Finding the Third Proportional to 33,314.63 and 70,370.44

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Solution

The third proportional to 33,314.63 and 70,370.44 is: 148,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,314.63 : 70,370.44 = 70,370.44 : x
  2. Step 2: Convert to fraction form
    33,314.63/70,370.44 = 70,370.44/x
  3. Step 3: Cross multiply
    33,314.63x = 70,370.44 × 70,370.44
  4. Step 4: Simplify right side
    33,314.63x = 4,951,998,473.94
  5. Step 5: Solve for x
    x = 4,951,998,473.94/33,314.63
  6. Step 6: Final answer
    x = 148,643.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.