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Finding the Third Proportional to 22,252 and 47,788

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Solution

The third proportional to 22,252 and 47,788 is: 102,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252 : 47,788 = 47,788 : x
  2. Step 2: Convert to fraction form
    22,252/47,788 = 47,788/x
  3. Step 3: Cross multiply
    22,252x = 47,788 × 47,788
  4. Step 4: Simplify right side
    22,252x = 2,283,692,944
  5. Step 5: Solve for x
    x = 2,283,692,944/22,252
  6. Step 6: Final answer
    x = 102,628.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.