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Finding the Third Proportional to 10,319 and 15,734

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Solution

The third proportional to 10,319 and 15,734 is: 23,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319 : 15,734 = 15,734 : x
  2. Step 2: Convert to fraction form
    10,319/15,734 = 15,734/x
  3. Step 3: Cross multiply
    10,319x = 15,734 × 15,734
  4. Step 4: Simplify right side
    10,319x = 247,558,756
  5. Step 5: Solve for x
    x = 247,558,756/10,319
  6. Step 6: Final answer
    x = 23,990.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.