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Finding the Third Proportional to 22,633.50 and 32,924.25

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Solution

The third proportional to 22,633.50 and 32,924.25 is: 47,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.50 : 32,924.25 = 32,924.25 : x
  2. Step 2: Convert to fraction form
    22,633.50/32,924.25 = 32,924.25/x
  3. Step 3: Cross multiply
    22,633.50x = 32,924.25 × 32,924.25
  4. Step 4: Simplify right side
    22,633.50x = 1,084,006,238.06
  5. Step 5: Solve for x
    x = 1,084,006,238.06/22,633.50
  6. Step 6: Final answer
    x = 47,893.88

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.