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Finding the Third Proportional to 33,054 and 43,749

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Solution

The third proportional to 33,054 and 43,749 is: 57,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054 : 43,749 = 43,749 : x
  2. Step 2: Convert to fraction form
    33,054/43,749 = 43,749/x
  3. Step 3: Cross multiply
    33,054x = 43,749 × 43,749
  4. Step 4: Simplify right side
    33,054x = 1,913,975,001
  5. Step 5: Solve for x
    x = 1,913,975,001/33,054
  6. Step 6: Final answer
    x = 57,904.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.