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Finding the Third Proportional to 22,432 and 50,878

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Solution

The third proportional to 22,432 and 50,878 is: 115,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432 : 50,878 = 50,878 : x
  2. Step 2: Convert to fraction form
    22,432/50,878 = 50,878/x
  3. Step 3: Cross multiply
    22,432x = 50,878 × 50,878
  4. Step 4: Simplify right side
    22,432x = 2,588,570,884
  5. Step 5: Solve for x
    x = 2,588,570,884/22,432
  6. Step 6: Final answer
    x = 115,396.35

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.