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Finding the Third Proportional to 16,984.78 and 36,896.06

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Solution

The third proportional to 16,984.78 and 36,896.06 is: 80,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.78 : 36,896.06 = 36,896.06 : x
  2. Step 2: Convert to fraction form
    16,984.78/36,896.06 = 36,896.06/x
  3. Step 3: Cross multiply
    16,984.78x = 36,896.06 × 36,896.06
  4. Step 4: Simplify right side
    16,984.78x = 1,361,319,428.00
  5. Step 5: Solve for x
    x = 1,361,319,428.00/16,984.78
  6. Step 6: Final answer
    x = 80,149.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.