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Finding the Third Proportional to 16,001.93 and 33,037.56

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Solution

The third proportional to 16,001.93 and 33,037.56 is: 68,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.93 : 33,037.56 = 33,037.56 : x
  2. Step 2: Convert to fraction form
    16,001.93/33,037.56 = 33,037.56/x
  3. Step 3: Cross multiply
    16,001.93x = 33,037.56 × 33,037.56
  4. Step 4: Simplify right side
    16,001.93x = 1,091,480,277.84
  5. Step 5: Solve for x
    x = 1,091,480,277.84/16,001.93
  6. Step 6: Final answer
    x = 68,209.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.