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Finding the Third Proportional to 22,906.55 and 49,503.66

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Solution

The third proportional to 22,906.55 and 49,503.66 is: 106,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.55 : 49,503.66 = 49,503.66 : x
  2. Step 2: Convert to fraction form
    22,906.55/49,503.66 = 49,503.66/x
  3. Step 3: Cross multiply
    22,906.55x = 49,503.66 × 49,503.66
  4. Step 4: Simplify right side
    22,906.55x = 2,450,611,982.12
  5. Step 5: Solve for x
    x = 2,450,611,982.12/22,906.55
  6. Step 6: Final answer
    x = 106,983.04

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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.