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Finding the Third Proportional to 7,749 and 16,659

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Solution

The third proportional to 7,749 and 16,659 is: 35,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 16,659 = 16,659 : x
  2. Step 2: Convert to fraction form
    7,749/16,659 = 16,659/x
  3. Step 3: Cross multiply
    7,749x = 16,659 × 16,659
  4. Step 4: Simplify right side
    7,749x = 277,522,281
  5. Step 5: Solve for x
    x = 277,522,281/7,749
  6. Step 6: Final answer
    x = 35,813.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.