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Finding the Third Proportional to 22,993.88 and 32,538.38

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Solution

The third proportional to 22,993.88 and 32,538.38 is: 46,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.88 : 32,538.38 = 32,538.38 : x
  2. Step 2: Convert to fraction form
    22,993.88/32,538.38 = 32,538.38/x
  3. Step 3: Cross multiply
    22,993.88x = 32,538.38 × 32,538.38
  4. Step 4: Simplify right side
    22,993.88x = 1,058,745,847.64
  5. Step 5: Solve for x
    x = 1,058,745,847.64/22,993.88
  6. Step 6: Final answer
    x = 46,044.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.