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Finding the Third Proportional to 4,680 and 6,828

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Solution

The third proportional to 4,680 and 6,828 is: 9,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680 : 6,828 = 6,828 : x
  2. Step 2: Convert to fraction form
    4,680/6,828 = 6,828/x
  3. Step 3: Cross multiply
    4,680x = 6,828 × 6,828
  4. Step 4: Simplify right side
    4,680x = 46,621,584
  5. Step 5: Solve for x
    x = 46,621,584/4,680
  6. Step 6: Final answer
    x = 9,961.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.