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Finding the Third Proportional to 8,670 and 13,407

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Solution

The third proportional to 8,670 and 13,407 is: 20,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670 : 13,407 = 13,407 : x
  2. Step 2: Convert to fraction form
    8,670/13,407 = 13,407/x
  3. Step 3: Cross multiply
    8,670x = 13,407 × 13,407
  4. Step 4: Simplify right side
    8,670x = 179,747,649
  5. Step 5: Solve for x
    x = 179,747,649/8,670
  6. Step 6: Final answer
    x = 20,732.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.