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Finding the Third Proportional to 11,843.50 and 27,421

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Solution

The third proportional to 11,843.50 and 27,421 is: 63,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.50 : 27,421 = 27,421 : x
  2. Step 2: Convert to fraction form
    11,843.50/27,421 = 27,421/x
  3. Step 3: Cross multiply
    11,843.50x = 27,421 × 27,421
  4. Step 4: Simplify right side
    11,843.50x = 751,911,241
  5. Step 5: Solve for x
    x = 751,911,241/11,843.50
  6. Step 6: Final answer
    x = 63,487.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.