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Finding the Third Proportional to 33,638.63 and 79,295.63

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Solution

The third proportional to 33,638.63 and 79,295.63 is: 186,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.63 : 79,295.63 = 79,295.63 : x
  2. Step 2: Convert to fraction form
    33,638.63/79,295.63 = 79,295.63/x
  3. Step 3: Cross multiply
    33,638.63x = 79,295.63 × 79,295.63
  4. Step 4: Simplify right side
    33,638.63x = 6,287,796,144.14
  5. Step 5: Solve for x
    x = 6,287,796,144.14/33,638.63
  6. Step 6: Final answer
    x = 186,921.91

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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.