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Finding the Third Proportional to 12,697 and 20,170

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Solution

The third proportional to 12,697 and 20,170 is: 32,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697 : 20,170 = 20,170 : x
  2. Step 2: Convert to fraction form
    12,697/20,170 = 20,170/x
  3. Step 3: Cross multiply
    12,697x = 20,170 × 20,170
  4. Step 4: Simplify right side
    12,697x = 406,828,900
  5. Step 5: Solve for x
    x = 406,828,900/12,697
  6. Step 6: Final answer
    x = 32,041.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.