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Finding the Third Proportional to 16,233.38 and 25,933.50

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Solution

The third proportional to 16,233.38 and 25,933.50 is: 41,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.38 : 25,933.50 = 25,933.50 : x
  2. Step 2: Convert to fraction form
    16,233.38/25,933.50 = 25,933.50/x
  3. Step 3: Cross multiply
    16,233.38x = 25,933.50 × 25,933.50
  4. Step 4: Simplify right side
    16,233.38x = 672,546,422.25
  5. Step 5: Solve for x
    x = 672,546,422.25/16,233.38
  6. Step 6: Final answer
    x = 41,429.86

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.