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Finding the Third Proportional to 22,744 and 47,576

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Solution

The third proportional to 22,744 and 47,576 is: 99,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744 : 47,576 = 47,576 : x
  2. Step 2: Convert to fraction form
    22,744/47,576 = 47,576/x
  3. Step 3: Cross multiply
    22,744x = 47,576 × 47,576
  4. Step 4: Simplify right side
    22,744x = 2,263,475,776
  5. Step 5: Solve for x
    x = 2,263,475,776/22,744
  6. Step 6: Final answer
    x = 99,519.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.