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Finding the Third Proportional to 9,499.78 and 18,505.97

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Solution

The third proportional to 9,499.78 and 18,505.97 is: 36,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.78 : 18,505.97 = 18,505.97 : x
  2. Step 2: Convert to fraction form
    9,499.78/18,505.97 = 18,505.97/x
  3. Step 3: Cross multiply
    9,499.78x = 18,505.97 × 18,505.97
  4. Step 4: Simplify right side
    9,499.78x = 342,470,879.38
  5. Step 5: Solve for x
    x = 342,470,879.38/9,499.78
  6. Step 6: Final answer
    x = 36,050.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.