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Finding the Third Proportional to 22,018 and 47,543

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Solution

The third proportional to 22,018 and 47,543 is: 102,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,018 : 47,543 = 47,543 : x
  2. Step 2: Convert to fraction form
    22,018/47,543 = 47,543/x
  3. Step 3: Cross multiply
    22,018x = 47,543 × 47,543
  4. Step 4: Simplify right side
    22,018x = 2,260,336,849
  5. Step 5: Solve for x
    x = 2,260,336,849/22,018
  6. Step 6: Final answer
    x = 102,658.59

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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.