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Finding the Third Proportional to 10,319.91 and 22,348.41

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Solution

The third proportional to 10,319.91 and 22,348.41 is: 48,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.91 : 22,348.41 = 22,348.41 : x
  2. Step 2: Convert to fraction form
    10,319.91/22,348.41 = 22,348.41/x
  3. Step 3: Cross multiply
    10,319.91x = 22,348.41 × 22,348.41
  4. Step 4: Simplify right side
    10,319.91x = 499,451,261.92
  5. Step 5: Solve for x
    x = 499,451,261.92/10,319.91
  6. Step 6: Final answer
    x = 48,396.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.