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Finding the Third Proportional to 8,154 and 10,842

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Solution

The third proportional to 8,154 and 10,842 is: 14,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 10,842 = 10,842 : x
  2. Step 2: Convert to fraction form
    8,154/10,842 = 10,842/x
  3. Step 3: Cross multiply
    8,154x = 10,842 × 10,842
  4. Step 4: Simplify right side
    8,154x = 117,548,964
  5. Step 5: Solve for x
    x = 117,548,964/8,154
  6. Step 6: Final answer
    x = 14,416.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.