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Finding the Third Proportional to 2,832 and 6,928

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Solution

The third proportional to 2,832 and 6,928 is: 16,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832 : 6,928 = 6,928 : x
  2. Step 2: Convert to fraction form
    2,832/6,928 = 6,928/x
  3. Step 3: Cross multiply
    2,832x = 6,928 × 6,928
  4. Step 4: Simplify right side
    2,832x = 47,997,184
  5. Step 5: Solve for x
    x = 47,997,184/2,832
  6. Step 6: Final answer
    x = 16,948.16

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.