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Finding the Third Proportional to 10,209.94 and 21,984.19

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Solution

The third proportional to 10,209.94 and 21,984.19 is: 47,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.94 : 21,984.19 = 21,984.19 : x
  2. Step 2: Convert to fraction form
    10,209.94/21,984.19 = 21,984.19/x
  3. Step 3: Cross multiply
    10,209.94x = 21,984.19 × 21,984.19
  4. Step 4: Simplify right side
    10,209.94x = 483,304,500.04
  5. Step 5: Solve for x
    x = 483,304,500.04/10,209.94
  6. Step 6: Final answer
    x = 47,336.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.