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Finding the Third Proportional to 6,836 and 10,453

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Solution

The third proportional to 6,836 and 10,453 is: 15,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836 : 10,453 = 10,453 : x
  2. Step 2: Convert to fraction form
    6,836/10,453 = 10,453/x
  3. Step 3: Cross multiply
    6,836x = 10,453 × 10,453
  4. Step 4: Simplify right side
    6,836x = 109,265,209
  5. Step 5: Solve for x
    x = 109,265,209/6,836
  6. Step 6: Final answer
    x = 15,983.79

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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.