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Finding the Third Proportional to 22,509 and 33,576

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Solution

The third proportional to 22,509 and 33,576 is: 50,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509 : 33,576 = 33,576 : x
  2. Step 2: Convert to fraction form
    22,509/33,576 = 33,576/x
  3. Step 3: Cross multiply
    22,509x = 33,576 × 33,576
  4. Step 4: Simplify right side
    22,509x = 1,127,347,776
  5. Step 5: Solve for x
    x = 1,127,347,776/22,509
  6. Step 6: Final answer
    x = 50,084.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.