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Finding the Third Proportional to 22,816.69 and 34,845.19

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Solution

The third proportional to 22,816.69 and 34,845.19 is: 53,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.69 : 34,845.19 = 34,845.19 : x
  2. Step 2: Convert to fraction form
    22,816.69/34,845.19 = 34,845.19/x
  3. Step 3: Cross multiply
    22,816.69x = 34,845.19 × 34,845.19
  4. Step 4: Simplify right side
    22,816.69x = 1,214,187,091.91
  5. Step 5: Solve for x
    x = 1,214,187,091.91/22,816.69
  6. Step 6: Final answer
    x = 53,214.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.