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Finding the Third Proportional to 5,709 and 7,636

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Solution

The third proportional to 5,709 and 7,636 is: 10,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709 : 7,636 = 7,636 : x
  2. Step 2: Convert to fraction form
    5,709/7,636 = 7,636/x
  3. Step 3: Cross multiply
    5,709x = 7,636 × 7,636
  4. Step 4: Simplify right side
    5,709x = 58,308,496
  5. Step 5: Solve for x
    x = 58,308,496/5,709
  6. Step 6: Final answer
    x = 10,213.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.