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Finding the Third Proportional to 22,884 and 49,506

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Solution

The third proportional to 22,884 and 49,506 is: 107,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884 : 49,506 = 49,506 : x
  2. Step 2: Convert to fraction form
    22,884/49,506 = 49,506/x
  3. Step 3: Cross multiply
    22,884x = 49,506 × 49,506
  4. Step 4: Simplify right side
    22,884x = 2,450,844,036
  5. Step 5: Solve for x
    x = 2,450,844,036/22,884
  6. Step 6: Final answer
    x = 107,098.59

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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.