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Finding the Third Proportional to 22,828 and 48,878

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Solution

The third proportional to 22,828 and 48,878 is: 104,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828 : 48,878 = 48,878 : x
  2. Step 2: Convert to fraction form
    22,828/48,878 = 48,878/x
  3. Step 3: Cross multiply
    22,828x = 48,878 × 48,878
  4. Step 4: Simplify right side
    22,828x = 2,389,058,884
  5. Step 5: Solve for x
    x = 2,389,058,884/22,828
  6. Step 6: Final answer
    x = 104,654.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.