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Finding the Third Proportional to 22,211.72 and 48,729.09

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Solution

The third proportional to 22,211.72 and 48,729.09 is: 106,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,211.72 : 48,729.09 = 48,729.09 : x
  2. Step 2: Convert to fraction form
    22,211.72/48,729.09 = 48,729.09/x
  3. Step 3: Cross multiply
    22,211.72x = 48,729.09 × 48,729.09
  4. Step 4: Simplify right side
    22,211.72x = 2,374,524,577.70
  5. Step 5: Solve for x
    x = 2,374,524,577.70/22,211.72
  6. Step 6: Final answer
    x = 106,904.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.