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Finding the Third Proportional to 10,170 and 13,407

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Solution

The third proportional to 10,170 and 13,407 is: 17,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170 : 13,407 = 13,407 : x
  2. Step 2: Convert to fraction form
    10,170/13,407 = 13,407/x
  3. Step 3: Cross multiply
    10,170x = 13,407 × 13,407
  4. Step 4: Simplify right side
    10,170x = 179,747,649
  5. Step 5: Solve for x
    x = 179,747,649/10,170
  6. Step 6: Final answer
    x = 17,674.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.