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Finding the Third Proportional to 4,564 and 6,286

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Solution

The third proportional to 4,564 and 6,286 is: 8,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,286 = 6,286 : x
  2. Step 2: Convert to fraction form
    4,564/6,286 = 6,286/x
  3. Step 3: Cross multiply
    4,564x = 6,286 × 6,286
  4. Step 4: Simplify right side
    4,564x = 39,513,796
  5. Step 5: Solve for x
    x = 39,513,796/4,564
  6. Step 6: Final answer
    x = 8,657.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.