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Finding the Third Proportional to 21,944.25 and 48,633.75

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Solution

The third proportional to 21,944.25 and 48,633.75 is: 107,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,944.25 : 48,633.75 = 48,633.75 : x
  2. Step 2: Convert to fraction form
    21,944.25/48,633.75 = 48,633.75/x
  3. Step 3: Cross multiply
    21,944.25x = 48,633.75 × 48,633.75
  4. Step 4: Simplify right side
    21,944.25x = 2,365,241,639.06
  5. Step 5: Solve for x
    x = 2,365,241,639.06/21,944.25
  6. Step 6: Final answer
    x = 107,784.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.