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Finding the Third Proportional to 16,839 and 23,313

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Solution

The third proportional to 16,839 and 23,313 is: 32,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839 : 23,313 = 23,313 : x
  2. Step 2: Convert to fraction form
    16,839/23,313 = 23,313/x
  3. Step 3: Cross multiply
    16,839x = 23,313 × 23,313
  4. Step 4: Simplify right side
    16,839x = 543,495,969
  5. Step 5: Solve for x
    x = 543,495,969/16,839
  6. Step 6: Final answer
    x = 32,276.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.