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Finding the Third Proportional to 7,739 and 16,961.75

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Solution

The third proportional to 7,739 and 16,961.75 is: 37,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739 : 16,961.75 = 16,961.75 : x
  2. Step 2: Convert to fraction form
    7,739/16,961.75 = 16,961.75/x
  3. Step 3: Cross multiply
    7,739x = 16,961.75 × 16,961.75
  4. Step 4: Simplify right side
    7,739x = 287,700,963.06
  5. Step 5: Solve for x
    x = 287,700,963.06/7,739
  6. Step 6: Final answer
    x = 37,175.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.