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Finding the Third Proportional to 9,799.50 and 21,147

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Solution

The third proportional to 9,799.50 and 21,147 is: 45,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.50 : 21,147 = 21,147 : x
  2. Step 2: Convert to fraction form
    9,799.50/21,147 = 21,147/x
  3. Step 3: Cross multiply
    9,799.50x = 21,147 × 21,147
  4. Step 4: Simplify right side
    9,799.50x = 447,195,609
  5. Step 5: Solve for x
    x = 447,195,609/9,799.50
  6. Step 6: Final answer
    x = 45,634.53

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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.