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Finding the Third Proportional to 16,693 and 23,809

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Solution

The third proportional to 16,693 and 23,809 is: 33,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693 : 23,809 = 23,809 : x
  2. Step 2: Convert to fraction form
    16,693/23,809 = 23,809/x
  3. Step 3: Cross multiply
    16,693x = 23,809 × 23,809
  4. Step 4: Simplify right side
    16,693x = 566,868,481
  5. Step 5: Solve for x
    x = 566,868,481/16,693
  6. Step 6: Final answer
    x = 33,958.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.