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Finding the Third Proportional to 9,909.84 and 20,934.07

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Solution

The third proportional to 9,909.84 and 20,934.07 is: 44,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.84 : 20,934.07 = 20,934.07 : x
  2. Step 2: Convert to fraction form
    9,909.84/20,934.07 = 20,934.07/x
  3. Step 3: Cross multiply
    9,909.84x = 20,934.07 × 20,934.07
  4. Step 4: Simplify right side
    9,909.84x = 438,235,299.85
  5. Step 5: Solve for x
    x = 438,235,299.85/9,909.84
  6. Step 6: Final answer
    x = 44,222.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.