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Finding the Third Proportional to 22,168.69 and 34,349.06

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Solution

The third proportional to 22,168.69 and 34,349.06 is: 53,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,168.69 : 34,349.06 = 34,349.06 : x
  2. Step 2: Convert to fraction form
    22,168.69/34,349.06 = 34,349.06/x
  3. Step 3: Cross multiply
    22,168.69x = 34,349.06 × 34,349.06
  4. Step 4: Simplify right side
    22,168.69x = 1,179,858,094.63
  5. Step 5: Solve for x
    x = 1,179,858,094.63/22,168.69
  6. Step 6: Final answer
    x = 53,221.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.