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Finding the Third Proportional to 33,004 and 77,884

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Solution

The third proportional to 33,004 and 77,884 is: 183,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004 : 77,884 = 77,884 : x
  2. Step 2: Convert to fraction form
    33,004/77,884 = 77,884/x
  3. Step 3: Cross multiply
    33,004x = 77,884 × 77,884
  4. Step 4: Simplify right side
    33,004x = 6,065,917,456
  5. Step 5: Solve for x
    x = 6,065,917,456/33,004
  6. Step 6: Final answer
    x = 183,793.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.