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Finding the Third Proportional to 22,538.25 and 51,944.63

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Solution

The third proportional to 22,538.25 and 51,944.63 is: 119,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.25 : 51,944.63 = 51,944.63 : x
  2. Step 2: Convert to fraction form
    22,538.25/51,944.63 = 51,944.63/x
  3. Step 3: Cross multiply
    22,538.25x = 51,944.63 × 51,944.63
  4. Step 4: Simplify right side
    22,538.25x = 2,698,244,066.39
  5. Step 5: Solve for x
    x = 2,698,244,066.39/22,538.25
  6. Step 6: Final answer
    x = 119,718.44

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.