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Finding the Third Proportional to 22,006 and 47,519

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Solution

The third proportional to 22,006 and 47,519 is: 102,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006 : 47,519 = 47,519 : x
  2. Step 2: Convert to fraction form
    22,006/47,519 = 47,519/x
  3. Step 3: Cross multiply
    22,006x = 47,519 × 47,519
  4. Step 4: Simplify right side
    22,006x = 2,258,055,361
  5. Step 5: Solve for x
    x = 2,258,055,361/22,006
  6. Step 6: Final answer
    x = 102,610.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.