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Finding the Third Proportional to 8,412 and 13,854

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Solution

The third proportional to 8,412 and 13,854 is: 22,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412 : 13,854 = 13,854 : x
  2. Step 2: Convert to fraction form
    8,412/13,854 = 13,854/x
  3. Step 3: Cross multiply
    8,412x = 13,854 × 13,854
  4. Step 4: Simplify right side
    8,412x = 191,933,316
  5. Step 5: Solve for x
    x = 191,933,316/8,412
  6. Step 6: Final answer
    x = 22,816.61

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.