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Finding the Third Proportional to 9,541 and 19,350

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Solution

The third proportional to 9,541 and 19,350 is: 39,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541 : 19,350 = 19,350 : x
  2. Step 2: Convert to fraction form
    9,541/19,350 = 19,350/x
  3. Step 3: Cross multiply
    9,541x = 19,350 × 19,350
  4. Step 4: Simplify right side
    9,541x = 374,422,500
  5. Step 5: Solve for x
    x = 374,422,500/9,541
  6. Step 6: Final answer
    x = 39,243.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.