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Finding the Third Proportional to 33,900.75 and 45,288

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Solution

The third proportional to 33,900.75 and 45,288 is: 60,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900.75 : 45,288 = 45,288 : x
  2. Step 2: Convert to fraction form
    33,900.75/45,288 = 45,288/x
  3. Step 3: Cross multiply
    33,900.75x = 45,288 × 45,288
  4. Step 4: Simplify right side
    33,900.75x = 2,051,002,944
  5. Step 5: Solve for x
    x = 2,051,002,944/33,900.75
  6. Step 6: Final answer
    x = 60,500.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.