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Finding the Third Proportional to 33,837.75 and 48,097.13

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Solution

The third proportional to 33,837.75 and 48,097.13 is: 68,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,837.75 : 48,097.13 = 48,097.13 : x
  2. Step 2: Convert to fraction form
    33,837.75/48,097.13 = 48,097.13/x
  3. Step 3: Cross multiply
    33,837.75x = 48,097.13 × 48,097.13
  4. Step 4: Simplify right side
    33,837.75x = 2,313,333,433.27
  5. Step 5: Solve for x
    x = 2,313,333,433.27/33,837.75
  6. Step 6: Final answer
    x = 68,365.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.