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Finding the Third Proportional to 22,192 and 47,860

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Solution

The third proportional to 22,192 and 47,860 is: 103,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,192 : 47,860 = 47,860 : x
  2. Step 2: Convert to fraction form
    22,192/47,860 = 47,860/x
  3. Step 3: Cross multiply
    22,192x = 47,860 × 47,860
  4. Step 4: Simplify right side
    22,192x = 2,290,579,600
  5. Step 5: Solve for x
    x = 2,290,579,600/22,192
  6. Step 6: Final answer
    x = 103,216.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.