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Finding the Third Proportional to 9,849.09 and 18,240.19

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Solution

The third proportional to 9,849.09 and 18,240.19 is: 33,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.09 : 18,240.19 = 18,240.19 : x
  2. Step 2: Convert to fraction form
    9,849.09/18,240.19 = 18,240.19/x
  3. Step 3: Cross multiply
    9,849.09x = 18,240.19 × 18,240.19
  4. Step 4: Simplify right side
    9,849.09x = 332,704,440.04
  5. Step 5: Solve for x
    x = 332,704,440.04/9,849.09
  6. Step 6: Final answer
    x = 33,780.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.