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Finding the Third Proportional to 9,001 and 18,361

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Solution

The third proportional to 9,001 and 18,361 is: 37,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001 : 18,361 = 18,361 : x
  2. Step 2: Convert to fraction form
    9,001/18,361 = 18,361/x
  3. Step 3: Cross multiply
    9,001x = 18,361 × 18,361
  4. Step 4: Simplify right side
    9,001x = 337,126,321
  5. Step 5: Solve for x
    x = 337,126,321/9,001
  6. Step 6: Final answer
    x = 37,454.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.