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Finding the Third Proportional to 33,810.75 and 43,233.75

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Solution

The third proportional to 33,810.75 and 43,233.75 is: 55,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810.75 : 43,233.75 = 43,233.75 : x
  2. Step 2: Convert to fraction form
    33,810.75/43,233.75 = 43,233.75/x
  3. Step 3: Cross multiply
    33,810.75x = 43,233.75 × 43,233.75
  4. Step 4: Simplify right side
    33,810.75x = 1,869,157,139.06
  5. Step 5: Solve for x
    x = 1,869,157,139.06/33,810.75
  6. Step 6: Final answer
    x = 55,282.92

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.