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Finding the Third Proportional to 7,696.38 and 16,620.75

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Solution

The third proportional to 7,696.38 and 16,620.75 is: 35,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.38 : 16,620.75 = 16,620.75 : x
  2. Step 2: Convert to fraction form
    7,696.38/16,620.75 = 16,620.75/x
  3. Step 3: Cross multiply
    7,696.38x = 16,620.75 × 16,620.75
  4. Step 4: Simplify right side
    7,696.38x = 276,249,330.56
  5. Step 5: Solve for x
    x = 276,249,330.56/7,696.38
  6. Step 6: Final answer
    x = 35,893.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.