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Finding the Third Proportional to 22,471.88 and 35,249.63

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Solution

The third proportional to 22,471.88 and 35,249.63 is: 55,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.88 : 35,249.63 = 35,249.63 : x
  2. Step 2: Convert to fraction form
    22,471.88/35,249.63 = 35,249.63/x
  3. Step 3: Cross multiply
    22,471.88x = 35,249.63 × 35,249.63
  4. Step 4: Simplify right side
    22,471.88x = 1,242,536,062.64
  5. Step 5: Solve for x
    x = 1,242,536,062.64/22,471.88
  6. Step 6: Final answer
    x = 55,292.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.