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Finding the Third Proportional to 4,438 and 6,308

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Solution

The third proportional to 4,438 and 6,308 is: 8,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438 : 6,308 = 6,308 : x
  2. Step 2: Convert to fraction form
    4,438/6,308 = 6,308/x
  3. Step 3: Cross multiply
    4,438x = 6,308 × 6,308
  4. Step 4: Simplify right side
    4,438x = 39,790,864
  5. Step 5: Solve for x
    x = 39,790,864/4,438
  6. Step 6: Final answer
    x = 8,965.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.