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Finding the Third Proportional to 22,563 and 52,224.75

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Solution

The third proportional to 22,563 and 52,224.75 is: 120,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563 : 52,224.75 = 52,224.75 : x
  2. Step 2: Convert to fraction form
    22,563/52,224.75 = 52,224.75/x
  3. Step 3: Cross multiply
    22,563x = 52,224.75 × 52,224.75
  4. Step 4: Simplify right side
    22,563x = 2,727,424,512.56
  5. Step 5: Solve for x
    x = 2,727,424,512.56/22,563
  6. Step 6: Final answer
    x = 120,880.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.