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Finding the Third Proportional to 9,499.78 and 19,405.83

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Solution

The third proportional to 9,499.78 and 19,405.83 is: 39,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.78 : 19,405.83 = 19,405.83 : x
  2. Step 2: Convert to fraction form
    9,499.78/19,405.83 = 19,405.83/x
  3. Step 3: Cross multiply
    9,499.78x = 19,405.83 × 19,405.83
  4. Step 4: Simplify right side
    9,499.78x = 376,586,165.22
  5. Step 5: Solve for x
    x = 376,586,165.22/9,499.78
  6. Step 6: Final answer
    x = 39,641.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.