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Finding the Third Proportional to 16,807.50 and 22,299.75

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Solution

The third proportional to 16,807.50 and 22,299.75 is: 29,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.50 : 22,299.75 = 22,299.75 : x
  2. Step 2: Convert to fraction form
    16,807.50/22,299.75 = 22,299.75/x
  3. Step 3: Cross multiply
    16,807.50x = 22,299.75 × 22,299.75
  4. Step 4: Simplify right side
    16,807.50x = 497,278,850.06
  5. Step 5: Solve for x
    x = 497,278,850.06/16,807.50
  6. Step 6: Final answer
    x = 29,586.72

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.