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Finding the Third Proportional to 9,816.75 and 19,140.75

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Solution

The third proportional to 9,816.75 and 19,140.75 is: 37,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.75 : 19,140.75 = 19,140.75 : x
  2. Step 2: Convert to fraction form
    9,816.75/19,140.75 = 19,140.75/x
  3. Step 3: Cross multiply
    9,816.75x = 19,140.75 × 19,140.75
  4. Step 4: Simplify right side
    9,816.75x = 366,368,310.56
  5. Step 5: Solve for x
    x = 366,368,310.56/9,816.75
  6. Step 6: Final answer
    x = 37,320.73

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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.