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Finding the Third Proportional to 6,794 and 10,587

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Solution

The third proportional to 6,794 and 10,587 is: 16,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794 : 10,587 = 10,587 : x
  2. Step 2: Convert to fraction form
    6,794/10,587 = 10,587/x
  3. Step 3: Cross multiply
    6,794x = 10,587 × 10,587
  4. Step 4: Simplify right side
    6,794x = 112,084,569
  5. Step 5: Solve for x
    x = 112,084,569/6,794
  6. Step 6: Final answer
    x = 16,497.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.