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Finding the Third Proportional to 10,318 and 11,614

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Solution

The third proportional to 10,318 and 11,614 is: 13,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318 : 11,614 = 11,614 : x
  2. Step 2: Convert to fraction form
    10,318/11,614 = 11,614/x
  3. Step 3: Cross multiply
    10,318x = 11,614 × 11,614
  4. Step 4: Simplify right side
    10,318x = 134,884,996
  5. Step 5: Solve for x
    x = 134,884,996/10,318
  6. Step 6: Final answer
    x = 13,072.79

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.