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Finding the Third Proportional to 7,853 and 12,593

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Solution

The third proportional to 7,853 and 12,593 is: 20,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853 : 12,593 = 12,593 : x
  2. Step 2: Convert to fraction form
    7,853/12,593 = 12,593/x
  3. Step 3: Cross multiply
    7,853x = 12,593 × 12,593
  4. Step 4: Simplify right side
    7,853x = 158,583,649
  5. Step 5: Solve for x
    x = 158,583,649/7,853
  6. Step 6: Final answer
    x = 20,194.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.