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Finding the Third Proportional to 12,597 and 19,593

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Solution

The third proportional to 12,597 and 19,593 is: 30,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597 : 19,593 = 19,593 : x
  2. Step 2: Convert to fraction form
    12,597/19,593 = 19,593/x
  3. Step 3: Cross multiply
    12,597x = 19,593 × 19,593
  4. Step 4: Simplify right side
    12,597x = 383,885,649
  5. Step 5: Solve for x
    x = 383,885,649/12,597
  6. Step 6: Final answer
    x = 30,474.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.