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Finding the Third Proportional to 4,309 and 6,462

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Solution

The third proportional to 4,309 and 6,462 is: 9,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309 : 6,462 = 6,462 : x
  2. Step 2: Convert to fraction form
    4,309/6,462 = 6,462/x
  3. Step 3: Cross multiply
    4,309x = 6,462 × 6,462
  4. Step 4: Simplify right side
    4,309x = 41,757,444
  5. Step 5: Solve for x
    x = 41,757,444/4,309
  6. Step 6: Final answer
    x = 9,690.75

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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.