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Finding the Third Proportional to 4,297 and 9,593

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Solution

The third proportional to 4,297 and 9,593 is: 21,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297 : 9,593 = 9,593 : x
  2. Step 2: Convert to fraction form
    4,297/9,593 = 9,593/x
  3. Step 3: Cross multiply
    4,297x = 9,593 × 9,593
  4. Step 4: Simplify right side
    4,297x = 92,025,649
  5. Step 5: Solve for x
    x = 92,025,649/4,297
  6. Step 6: Final answer
    x = 21,416.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.