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Finding the Third Proportional to 6,891.47 and 10,310.06

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Solution

The third proportional to 6,891.47 and 10,310.06 is: 15,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.47 : 10,310.06 = 10,310.06 : x
  2. Step 2: Convert to fraction form
    6,891.47/10,310.06 = 10,310.06/x
  3. Step 3: Cross multiply
    6,891.47x = 10,310.06 × 10,310.06
  4. Step 4: Simplify right side
    6,891.47x = 106,297,388.75
  5. Step 5: Solve for x
    x = 106,297,388.75/6,891.47
  6. Step 6: Final answer
    x = 15,424.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.