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Finding the Third Proportional to 9,351.75 and 19,999.69

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Solution

The third proportional to 9,351.75 and 19,999.69 is: 42,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.75 : 19,999.69 = 19,999.69 : x
  2. Step 2: Convert to fraction form
    9,351.75/19,999.69 = 19,999.69/x
  3. Step 3: Cross multiply
    9,351.75x = 19,999.69 × 19,999.69
  4. Step 4: Simplify right side
    9,351.75x = 399,987,500.10
  5. Step 5: Solve for x
    x = 399,987,500.10/9,351.75
  6. Step 6: Final answer
    x = 42,771.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.