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Finding the Third Proportional to 21,727 and 47,341

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Solution

The third proportional to 21,727 and 47,341 is: 103,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727 : 47,341 = 47,341 : x
  2. Step 2: Convert to fraction form
    21,727/47,341 = 47,341/x
  3. Step 3: Cross multiply
    21,727x = 47,341 × 47,341
  4. Step 4: Simplify right side
    21,727x = 2,241,170,281
  5. Step 5: Solve for x
    x = 2,241,170,281/21,727
  6. Step 6: Final answer
    x = 103,151.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.