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Finding the Third Proportional to 22,181 and 47,878

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Solution

The third proportional to 22,181 and 47,878 is: 103,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181 : 47,878 = 47,878 : x
  2. Step 2: Convert to fraction form
    22,181/47,878 = 47,878/x
  3. Step 3: Cross multiply
    22,181x = 47,878 × 47,878
  4. Step 4: Simplify right side
    22,181x = 2,292,302,884
  5. Step 5: Solve for x
    x = 2,292,302,884/22,181
  6. Step 6: Final answer
    x = 103,345.34

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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.