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Finding the Third Proportional to 16,247 and 24,491

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Solution

The third proportional to 16,247 and 24,491 is: 36,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,247 : 24,491 = 24,491 : x
  2. Step 2: Convert to fraction form
    16,247/24,491 = 24,491/x
  3. Step 3: Cross multiply
    16,247x = 24,491 × 24,491
  4. Step 4: Simplify right side
    16,247x = 599,809,081
  5. Step 5: Solve for x
    x = 599,809,081/16,247
  6. Step 6: Final answer
    x = 36,918.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.