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Finding the Third Proportional to 22,314.94 and 33,701.06

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Solution

The third proportional to 22,314.94 and 33,701.06 is: 50,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.94 : 33,701.06 = 33,701.06 : x
  2. Step 2: Convert to fraction form
    22,314.94/33,701.06 = 33,701.06/x
  3. Step 3: Cross multiply
    22,314.94x = 33,701.06 × 33,701.06
  4. Step 4: Simplify right side
    22,314.94x = 1,135,761,613.63
  5. Step 5: Solve for x
    x = 1,135,761,613.63/22,314.94
  6. Step 6: Final answer
    x = 50,896.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.