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Finding the Third Proportional to 33,298.59 and 71,335.69

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Solution

The third proportional to 33,298.59 and 71,335.69 is: 152,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298.59 : 71,335.69 = 71,335.69 : x
  2. Step 2: Convert to fraction form
    33,298.59/71,335.69 = 71,335.69/x
  3. Step 3: Cross multiply
    33,298.59x = 71,335.69 × 71,335.69
  4. Step 4: Simplify right side
    33,298.59x = 5,088,780,311.10
  5. Step 5: Solve for x
    x = 5,088,780,311.10/33,298.59
  6. Step 6: Final answer
    x = 152,822.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.