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Finding the Third Proportional to 22,564.69 and 33,798.94

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Solution

The third proportional to 22,564.69 and 33,798.94 is: 50,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.69 : 33,798.94 = 33,798.94 : x
  2. Step 2: Convert to fraction form
    22,564.69/33,798.94 = 33,798.94/x
  3. Step 3: Cross multiply
    22,564.69x = 33,798.94 × 33,798.94
  4. Step 4: Simplify right side
    22,564.69x = 1,142,368,176.13
  5. Step 5: Solve for x
    x = 1,142,368,176.13/22,564.69
  6. Step 6: Final answer
    x = 50,626.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.