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Finding the Third Proportional to 21,921 and 47,566

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Solution

The third proportional to 21,921 and 47,566 is: 103,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921 : 47,566 = 47,566 : x
  2. Step 2: Convert to fraction form
    21,921/47,566 = 47,566/x
  3. Step 3: Cross multiply
    21,921x = 47,566 × 47,566
  4. Step 4: Simplify right side
    21,921x = 2,262,524,356
  5. Step 5: Solve for x
    x = 2,262,524,356/21,921
  6. Step 6: Final answer
    x = 103,212.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.