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Finding the Third Proportional to 22,671 and 49,108

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Solution

The third proportional to 22,671 and 49,108 is: 106,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671 : 49,108 = 49,108 : x
  2. Step 2: Convert to fraction form
    22,671/49,108 = 49,108/x
  3. Step 3: Cross multiply
    22,671x = 49,108 × 49,108
  4. Step 4: Simplify right side
    22,671x = 2,411,595,664
  5. Step 5: Solve for x
    x = 2,411,595,664/22,671
  6. Step 6: Final answer
    x = 106,373.59

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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.