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Finding the Third Proportional to 22,289 and 47,491

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Solution

The third proportional to 22,289 and 47,491 is: 101,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289 : 47,491 = 47,491 : x
  2. Step 2: Convert to fraction form
    22,289/47,491 = 47,491/x
  3. Step 3: Cross multiply
    22,289x = 47,491 × 47,491
  4. Step 4: Simplify right side
    22,289x = 2,255,395,081
  5. Step 5: Solve for x
    x = 2,255,395,081/22,289
  6. Step 6: Final answer
    x = 101,188.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.