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Finding the Third Proportional to 24,966 and 54,828

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Solution

The third proportional to 24,966 and 54,828 is: 120,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,966 : 54,828 = 54,828 : x
  2. Step 2: Convert to fraction form
    24,966/54,828 = 54,828/x
  3. Step 3: Cross multiply
    24,966x = 54,828 × 54,828
  4. Step 4: Simplify right side
    24,966x = 3,006,109,584
  5. Step 5: Solve for x
    x = 3,006,109,584/24,966
  6. Step 6: Final answer
    x = 120,408.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.