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Finding the Third Proportional to 17,601 and 22,846.50

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Solution

The third proportional to 17,601 and 22,846.50 is: 29,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601 : 22,846.50 = 22,846.50 : x
  2. Step 2: Convert to fraction form
    17,601/22,846.50 = 22,846.50/x
  3. Step 3: Cross multiply
    17,601x = 22,846.50 × 22,846.50
  4. Step 4: Simplify right side
    17,601x = 521,962,562.25
  5. Step 5: Solve for x
    x = 521,962,562.25/17,601
  6. Step 6: Final answer
    x = 29,655.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.