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Finding the Third Proportional to 3,696.33 and 8,007.89

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Solution

The third proportional to 3,696.33 and 8,007.89 is: 17,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.33 : 8,007.89 = 8,007.89 : x
  2. Step 2: Convert to fraction form
    3,696.33/8,007.89 = 8,007.89/x
  3. Step 3: Cross multiply
    3,696.33x = 8,007.89 × 8,007.89
  4. Step 4: Simplify right side
    3,696.33x = 64,126,312.26
  5. Step 5: Solve for x
    x = 64,126,312.26/3,696.33
  6. Step 6: Final answer
    x = 17,348.65

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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.