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Finding the Third Proportional to 9,240.75 and 22,791.38

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Solution

The third proportional to 9,240.75 and 22,791.38 is: 56,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.75 : 22,791.38 = 22,791.38 : x
  2. Step 2: Convert to fraction form
    9,240.75/22,791.38 = 22,791.38/x
  3. Step 3: Cross multiply
    9,240.75x = 22,791.38 × 22,791.38
  4. Step 4: Simplify right side
    9,240.75x = 519,446,774.39
  5. Step 5: Solve for x
    x = 519,446,774.39/9,240.75
  6. Step 6: Final answer
    x = 56,212.62

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.