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Finding the Third Proportional to 33,301.13 and 50,230.13

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Solution

The third proportional to 33,301.13 and 50,230.13 is: 75,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301.13 : 50,230.13 = 50,230.13 : x
  2. Step 2: Convert to fraction form
    33,301.13/50,230.13 = 50,230.13/x
  3. Step 3: Cross multiply
    33,301.13x = 50,230.13 × 50,230.13
  4. Step 4: Simplify right side
    33,301.13x = 2,523,065,457.52
  5. Step 5: Solve for x
    x = 2,523,065,457.52/33,301.13
  6. Step 6: Final answer
    x = 75,765.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.