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Finding the Third Proportional to 4,714 and 8,293

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Solution

The third proportional to 4,714 and 8,293 is: 14,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714 : 8,293 = 8,293 : x
  2. Step 2: Convert to fraction form
    4,714/8,293 = 8,293/x
  3. Step 3: Cross multiply
    4,714x = 8,293 × 8,293
  4. Step 4: Simplify right side
    4,714x = 68,773,849
  5. Step 5: Solve for x
    x = 68,773,849/4,714
  6. Step 6: Final answer
    x = 14,589.28

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.