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Finding the Third Proportional to 26,384.50 and 37,156

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Solution

The third proportional to 26,384.50 and 37,156 is: 52,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.50 : 37,156 = 37,156 : x
  2. Step 2: Convert to fraction form
    26,384.50/37,156 = 37,156/x
  3. Step 3: Cross multiply
    26,384.50x = 37,156 × 37,156
  4. Step 4: Simplify right side
    26,384.50x = 1,380,568,336
  5. Step 5: Solve for x
    x = 1,380,568,336/26,384.50
  6. Step 6: Final answer
    x = 52,324.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.