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Finding the Third Proportional to 22,026.38 and 42,944.63

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Solution

The third proportional to 22,026.38 and 42,944.63 is: 83,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026.38 : 42,944.63 = 42,944.63 : x
  2. Step 2: Convert to fraction form
    22,026.38/42,944.63 = 42,944.63/x
  3. Step 3: Cross multiply
    22,026.38x = 42,944.63 × 42,944.63
  4. Step 4: Simplify right side
    22,026.38x = 1,844,240,816.39
  5. Step 5: Solve for x
    x = 1,844,240,816.39/22,026.38
  6. Step 6: Final answer
    x = 83,728.75

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.