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Finding the Third Proportional to 10,288.88 and 22,138.13

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Solution

The third proportional to 10,288.88 and 22,138.13 is: 47,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.88 : 22,138.13 = 22,138.13 : x
  2. Step 2: Convert to fraction form
    10,288.88/22,138.13 = 22,138.13/x
  3. Step 3: Cross multiply
    10,288.88x = 22,138.13 × 22,138.13
  4. Step 4: Simplify right side
    10,288.88x = 490,096,578.52
  5. Step 5: Solve for x
    x = 490,096,578.52/10,288.88
  6. Step 6: Final answer
    x = 47,633.64

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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.