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Finding the Third Proportional to 33,319.13 and 70,379.25

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Solution

The third proportional to 33,319.13 and 70,379.25 is: 148,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,319.13 : 70,379.25 = 70,379.25 : x
  2. Step 2: Convert to fraction form
    33,319.13/70,379.25 = 70,379.25/x
  3. Step 3: Cross multiply
    33,319.13x = 70,379.25 × 70,379.25
  4. Step 4: Simplify right side
    33,319.13x = 4,953,238,830.56
  5. Step 5: Solve for x
    x = 4,953,238,830.56/33,319.13
  6. Step 6: Final answer
    x = 148,660.53

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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.