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Finding the Third Proportional to 4,853.31 and 10,500

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Solution

The third proportional to 4,853.31 and 10,500 is: 22,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.31 : 10,500 = 10,500 : x
  2. Step 2: Convert to fraction form
    4,853.31/10,500 = 10,500/x
  3. Step 3: Cross multiply
    4,853.31x = 10,500 × 10,500
  4. Step 4: Simplify right side
    4,853.31x = 110,250,000
  5. Step 5: Solve for x
    x = 110,250,000/4,853.31
  6. Step 6: Final answer
    x = 22,716.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.