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Finding the Third Proportional to 33,058.97 and 48,203.86

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Solution

The third proportional to 33,058.97 and 48,203.86 is: 70,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,058.97 : 48,203.86 = 48,203.86 : x
  2. Step 2: Convert to fraction form
    33,058.97/48,203.86 = 48,203.86/x
  3. Step 3: Cross multiply
    33,058.97x = 48,203.86 × 48,203.86
  4. Step 4: Simplify right side
    33,058.97x = 2,323,612,058.64
  5. Step 5: Solve for x
    x = 2,323,612,058.64/33,058.97
  6. Step 6: Final answer
    x = 70,286.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.