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Finding the Third Proportional to 4,125 and 7,680

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Solution

The third proportional to 4,125 and 7,680 is: 14,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125 : 7,680 = 7,680 : x
  2. Step 2: Convert to fraction form
    4,125/7,680 = 7,680/x
  3. Step 3: Cross multiply
    4,125x = 7,680 × 7,680
  4. Step 4: Simplify right side
    4,125x = 58,982,400
  5. Step 5: Solve for x
    x = 58,982,400/4,125
  6. Step 6: Final answer
    x = 14,298.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.