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Finding the Third Proportional to 10,884.75 and 22,230.70

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Solution

The third proportional to 10,884.75 and 22,230.70 is: 45,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.75 : 22,230.70 = 22,230.70 : x
  2. Step 2: Convert to fraction form
    10,884.75/22,230.70 = 22,230.70/x
  3. Step 3: Cross multiply
    10,884.75x = 22,230.70 × 22,230.70
  4. Step 4: Simplify right side
    10,884.75x = 494,204,161.43
  5. Step 5: Solve for x
    x = 494,204,161.43/10,884.75
  6. Step 6: Final answer
    x = 45,403.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.