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Finding the Third Proportional to 6,685 and 15,759

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Solution

The third proportional to 6,685 and 15,759 is: 37,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685 : 15,759 = 15,759 : x
  2. Step 2: Convert to fraction form
    6,685/15,759 = 15,759/x
  3. Step 3: Cross multiply
    6,685x = 15,759 × 15,759
  4. Step 4: Simplify right side
    6,685x = 248,346,081
  5. Step 5: Solve for x
    x = 248,346,081/6,685
  6. Step 6: Final answer
    x = 37,149.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.