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Finding the Third Proportional to 9,874 and 17,732

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Solution

The third proportional to 9,874 and 17,732 is: 31,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874 : 17,732 = 17,732 : x
  2. Step 2: Convert to fraction form
    9,874/17,732 = 17,732/x
  3. Step 3: Cross multiply
    9,874x = 17,732 × 17,732
  4. Step 4: Simplify right side
    9,874x = 314,423,824
  5. Step 5: Solve for x
    x = 314,423,824/9,874
  6. Step 6: Final answer
    x = 31,843.61

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.