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Finding the Third Proportional to 9,351.75 and 19,999.88

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Solution

The third proportional to 9,351.75 and 19,999.88 is: 42,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.75 : 19,999.88 = 19,999.88 : x
  2. Step 2: Convert to fraction form
    9,351.75/19,999.88 = 19,999.88/x
  3. Step 3: Cross multiply
    9,351.75x = 19,999.88 × 19,999.88
  4. Step 4: Simplify right side
    9,351.75x = 399,995,000.02
  5. Step 5: Solve for x
    x = 399,995,000.02/9,351.75
  6. Step 6: Final answer
    x = 42,772.21

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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.