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Finding the Third Proportional to 16,764 and 25,184

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Solution

The third proportional to 16,764 and 25,184 is: 37,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764 : 25,184 = 25,184 : x
  2. Step 2: Convert to fraction form
    16,764/25,184 = 25,184/x
  3. Step 3: Cross multiply
    16,764x = 25,184 × 25,184
  4. Step 4: Simplify right side
    16,764x = 634,233,856
  5. Step 5: Solve for x
    x = 634,233,856/16,764
  6. Step 6: Final answer
    x = 37,833.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.