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Finding the Third Proportional to 22,172.06 and 47,624.63

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Solution

The third proportional to 22,172.06 and 47,624.63 is: 102,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172.06 : 47,624.63 = 47,624.63 : x
  2. Step 2: Convert to fraction form
    22,172.06/47,624.63 = 47,624.63/x
  3. Step 3: Cross multiply
    22,172.06x = 47,624.63 × 47,624.63
  4. Step 4: Simplify right side
    22,172.06x = 2,268,104,906.39
  5. Step 5: Solve for x
    x = 2,268,104,906.39/22,172.06
  6. Step 6: Final answer
    x = 102,295.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.