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Finding the Third Proportional to 10,369.27 and 22,276.90

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Solution

The third proportional to 10,369.27 and 22,276.90 is: 47,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.27 : 22,276.90 = 22,276.90 : x
  2. Step 2: Convert to fraction form
    10,369.27/22,276.90 = 22,276.90/x
  3. Step 3: Cross multiply
    10,369.27x = 22,276.90 × 22,276.90
  4. Step 4: Simplify right side
    10,369.27x = 496,260,203.99
  5. Step 5: Solve for x
    x = 496,260,203.99/10,369.27
  6. Step 6: Final answer
    x = 47,858.76

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Why These Related Problems?

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