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Finding the Third Proportional to 22,006 and 48,026

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Solution

The third proportional to 22,006 and 48,026 is: 104,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006 : 48,026 = 48,026 : x
  2. Step 2: Convert to fraction form
    22,006/48,026 = 48,026/x
  3. Step 3: Cross multiply
    22,006x = 48,026 × 48,026
  4. Step 4: Simplify right side
    22,006x = 2,306,496,676
  5. Step 5: Solve for x
    x = 2,306,496,676/22,006
  6. Step 6: Final answer
    x = 104,812.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.