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Finding the Third Proportional to 33,004.94 and 77,836.06

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Solution

The third proportional to 33,004.94 and 77,836.06 is: 183,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.94 : 77,836.06 = 77,836.06 : x
  2. Step 2: Convert to fraction form
    33,004.94/77,836.06 = 77,836.06/x
  3. Step 3: Cross multiply
    33,004.94x = 77,836.06 × 77,836.06
  4. Step 4: Simplify right side
    33,004.94x = 6,058,452,625.50
  5. Step 5: Solve for x
    x = 6,058,452,625.50/33,004.94
  6. Step 6: Final answer
    x = 183,562.01

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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.