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Finding the Third Proportional to 7,649 and 10,772

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Solution

The third proportional to 7,649 and 10,772 is: 15,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649 : 10,772 = 10,772 : x
  2. Step 2: Convert to fraction form
    7,649/10,772 = 10,772/x
  3. Step 3: Cross multiply
    7,649x = 10,772 × 10,772
  4. Step 4: Simplify right side
    7,649x = 116,035,984
  5. Step 5: Solve for x
    x = 116,035,984/7,649
  6. Step 6: Final answer
    x = 15,170.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.