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Finding the Third Proportional to 4,993 and 8,321

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Solution

The third proportional to 4,993 and 8,321 is: 13,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993 : 8,321 = 8,321 : x
  2. Step 2: Convert to fraction form
    4,993/8,321 = 8,321/x
  3. Step 3: Cross multiply
    4,993x = 8,321 × 8,321
  4. Step 4: Simplify right side
    4,993x = 69,239,041
  5. Step 5: Solve for x
    x = 69,239,041/4,993
  6. Step 6: Final answer
    x = 13,867.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.