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Finding the Third Proportional to 15,736 and 23,833

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Solution

The third proportional to 15,736 and 23,833 is: 36,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736 : 23,833 = 23,833 : x
  2. Step 2: Convert to fraction form
    15,736/23,833 = 23,833/x
  3. Step 3: Cross multiply
    15,736x = 23,833 × 23,833
  4. Step 4: Simplify right side
    15,736x = 568,011,889
  5. Step 5: Solve for x
    x = 568,011,889/15,736
  6. Step 6: Final answer
    x = 36,096.33

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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.