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Finding the Third Proportional to 7,669.25 and 16,546.75

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Solution

The third proportional to 7,669.25 and 16,546.75 is: 35,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.25 : 16,546.75 = 16,546.75 : x
  2. Step 2: Convert to fraction form
    7,669.25/16,546.75 = 16,546.75/x
  3. Step 3: Cross multiply
    7,669.25x = 16,546.75 × 16,546.75
  4. Step 4: Simplify right side
    7,669.25x = 273,794,935.56
  5. Step 5: Solve for x
    x = 273,794,935.56/7,669.25
  6. Step 6: Final answer
    x = 35,700.35

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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.