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Finding the Third Proportional to 4,162.50 and 9,819

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Solution

The third proportional to 4,162.50 and 9,819 is: 23,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.50 : 9,819 = 9,819 : x
  2. Step 2: Convert to fraction form
    4,162.50/9,819 = 9,819/x
  3. Step 3: Cross multiply
    4,162.50x = 9,819 × 9,819
  4. Step 4: Simplify right side
    4,162.50x = 96,412,761
  5. Step 5: Solve for x
    x = 96,412,761/4,162.50
  6. Step 6: Final answer
    x = 23,162.22

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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.