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Finding the Third Proportional to 4,330 and 6,479

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Solution

The third proportional to 4,330 and 6,479 is: 9,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330 : 6,479 = 6,479 : x
  2. Step 2: Convert to fraction form
    4,330/6,479 = 6,479/x
  3. Step 3: Cross multiply
    4,330x = 6,479 × 6,479
  4. Step 4: Simplify right side
    4,330x = 41,977,441
  5. Step 5: Solve for x
    x = 41,977,441/4,330
  6. Step 6: Final answer
    x = 9,694.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.