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Finding the Third Proportional to 21,925.50 and 48,224.75

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Solution

The third proportional to 21,925.50 and 48,224.75 is: 106,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.50 : 48,224.75 = 48,224.75 : x
  2. Step 2: Convert to fraction form
    21,925.50/48,224.75 = 48,224.75/x
  3. Step 3: Cross multiply
    21,925.50x = 48,224.75 × 48,224.75
  4. Step 4: Simplify right side
    21,925.50x = 2,325,626,512.56
  5. Step 5: Solve for x
    x = 2,325,626,512.56/21,925.50
  6. Step 6: Final answer
    x = 106,069.49

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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.