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Finding the Third Proportional to 10,213.59 and 22,310.44

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Solution

The third proportional to 10,213.59 and 22,310.44 is: 48,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.59 : 22,310.44 = 22,310.44 : x
  2. Step 2: Convert to fraction form
    10,213.59/22,310.44 = 22,310.44/x
  3. Step 3: Cross multiply
    10,213.59x = 22,310.44 × 22,310.44
  4. Step 4: Simplify right side
    10,213.59x = 497,755,621.44
  5. Step 5: Solve for x
    x = 497,755,621.44/10,213.59
  6. Step 6: Final answer
    x = 48,734.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.