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Finding the Third Proportional to 33,885 and 72,459.75

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Solution

The third proportional to 33,885 and 72,459.75 is: 154,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,885 : 72,459.75 = 72,459.75 : x
  2. Step 2: Convert to fraction form
    33,885/72,459.75 = 72,459.75/x
  3. Step 3: Cross multiply
    33,885x = 72,459.75 × 72,459.75
  4. Step 4: Simplify right side
    33,885x = 5,250,415,370.06
  5. Step 5: Solve for x
    x = 5,250,415,370.06/33,885
  6. Step 6: Final answer
    x = 154,948.07

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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.