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Finding the Third Proportional to 17,732.25 and 23,661

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Solution

The third proportional to 17,732.25 and 23,661 is: 31,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.25 : 23,661 = 23,661 : x
  2. Step 2: Convert to fraction form
    17,732.25/23,661 = 23,661/x
  3. Step 3: Cross multiply
    17,732.25x = 23,661 × 23,661
  4. Step 4: Simplify right side
    17,732.25x = 559,842,921
  5. Step 5: Solve for x
    x = 559,842,921/17,732.25
  6. Step 6: Final answer
    x = 31,572.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.