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Finding the Third Proportional to 22,170 and 48,508

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Solution

The third proportional to 22,170 and 48,508 is: 106,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,170 : 48,508 = 48,508 : x
  2. Step 2: Convert to fraction form
    22,170/48,508 = 48,508/x
  3. Step 3: Cross multiply
    22,170x = 48,508 × 48,508
  4. Step 4: Simplify right side
    22,170x = 2,353,026,064
  5. Step 5: Solve for x
    x = 2,353,026,064/22,170
  6. Step 6: Final answer
    x = 106,135.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.