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Finding the Third Proportional to 10,446 and 15,689

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Solution

The third proportional to 10,446 and 15,689 is: 23,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446 : 15,689 = 15,689 : x
  2. Step 2: Convert to fraction form
    10,446/15,689 = 15,689/x
  3. Step 3: Cross multiply
    10,446x = 15,689 × 15,689
  4. Step 4: Simplify right side
    10,446x = 246,144,721
  5. Step 5: Solve for x
    x = 246,144,721/10,446
  6. Step 6: Final answer
    x = 23,563.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.