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Finding the Third Proportional to 5,832 and 7,628

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Solution

The third proportional to 5,832 and 7,628 is: 9,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 7,628 = 7,628 : x
  2. Step 2: Convert to fraction form
    5,832/7,628 = 7,628/x
  3. Step 3: Cross multiply
    5,832x = 7,628 × 7,628
  4. Step 4: Simplify right side
    5,832x = 58,186,384
  5. Step 5: Solve for x
    x = 58,186,384/5,832
  6. Step 6: Final answer
    x = 9,977.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.