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Finding the Third Proportional to 22,617 and 50,791.50

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Solution

The third proportional to 22,617 and 50,791.50 is: 114,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617 : 50,791.50 = 50,791.50 : x
  2. Step 2: Convert to fraction form
    22,617/50,791.50 = 50,791.50/x
  3. Step 3: Cross multiply
    22,617x = 50,791.50 × 50,791.50
  4. Step 4: Simplify right side
    22,617x = 2,579,776,472.25
  5. Step 5: Solve for x
    x = 2,579,776,472.25/22,617
  6. Step 6: Final answer
    x = 114,063.60

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.