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Finding the Third Proportional to 16,178 and 24,243

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Solution

The third proportional to 16,178 and 24,243 is: 36,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178 : 24,243 = 24,243 : x
  2. Step 2: Convert to fraction form
    16,178/24,243 = 24,243/x
  3. Step 3: Cross multiply
    16,178x = 24,243 × 24,243
  4. Step 4: Simplify right side
    16,178x = 587,723,049
  5. Step 5: Solve for x
    x = 587,723,049/16,178
  6. Step 6: Final answer
    x = 36,328.54

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Why These Related Problems?

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