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Finding the Third Proportional to 10,366 and 11,842

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Solution

The third proportional to 10,366 and 11,842 is: 13,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 11,842 = 11,842 : x
  2. Step 2: Convert to fraction form
    10,366/11,842 = 11,842/x
  3. Step 3: Cross multiply
    10,366x = 11,842 × 11,842
  4. Step 4: Simplify right side
    10,366x = 140,232,964
  5. Step 5: Solve for x
    x = 140,232,964/10,366
  6. Step 6: Final answer
    x = 13,528.17

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.