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Finding the Third Proportional to 33,240.69 and 73,862.51

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Solution

The third proportional to 33,240.69 and 73,862.51 is: 164,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,240.69 : 73,862.51 = 73,862.51 : x
  2. Step 2: Convert to fraction form
    33,240.69/73,862.51 = 73,862.51/x
  3. Step 3: Cross multiply
    33,240.69x = 73,862.51 × 73,862.51
  4. Step 4: Simplify right side
    33,240.69x = 5,455,670,060.35
  5. Step 5: Solve for x
    x = 5,455,670,060.35/33,240.69
  6. Step 6: Final answer
    x = 164,126.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.