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Finding the Third Proportional to 6,824 and 10,432

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Solution

The third proportional to 6,824 and 10,432 is: 15,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824 : 10,432 = 10,432 : x
  2. Step 2: Convert to fraction form
    6,824/10,432 = 10,432/x
  3. Step 3: Cross multiply
    6,824x = 10,432 × 10,432
  4. Step 4: Simplify right side
    6,824x = 108,826,624
  5. Step 5: Solve for x
    x = 108,826,624/6,824
  6. Step 6: Final answer
    x = 15,947.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.