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Finding the Third Proportional to 15,736 and 23,390

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Solution

The third proportional to 15,736 and 23,390 is: 34,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736 : 23,390 = 23,390 : x
  2. Step 2: Convert to fraction form
    15,736/23,390 = 23,390/x
  3. Step 3: Cross multiply
    15,736x = 23,390 × 23,390
  4. Step 4: Simplify right side
    15,736x = 547,092,100
  5. Step 5: Solve for x
    x = 547,092,100/15,736
  6. Step 6: Final answer
    x = 34,766.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.