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Finding the Third Proportional to 33,000.75 and 77,004

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Solution

The third proportional to 33,000.75 and 77,004 is: 179,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.75 : 77,004 = 77,004 : x
  2. Step 2: Convert to fraction form
    33,000.75/77,004 = 77,004/x
  3. Step 3: Cross multiply
    33,000.75x = 77,004 × 77,004
  4. Step 4: Simplify right side
    33,000.75x = 5,929,616,016
  5. Step 5: Solve for x
    x = 5,929,616,016/33,000.75
  6. Step 6: Final answer
    x = 179,681.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.