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Finding the Third Proportional to 22,000.75 and 34,083.38

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Solution

The third proportional to 22,000.75 and 34,083.38 is: 52,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.75 : 34,083.38 = 34,083.38 : x
  2. Step 2: Convert to fraction form
    22,000.75/34,083.38 = 34,083.38/x
  3. Step 3: Cross multiply
    22,000.75x = 34,083.38 × 34,083.38
  4. Step 4: Simplify right side
    22,000.75x = 1,161,676,451.39
  5. Step 5: Solve for x
    x = 1,161,676,451.39/22,000.75
  6. Step 6: Final answer
    x = 52,801.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.