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Finding the Third Proportional to 9,314 and 13,961

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Solution

The third proportional to 9,314 and 13,961 is: 20,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314 : 13,961 = 13,961 : x
  2. Step 2: Convert to fraction form
    9,314/13,961 = 13,961/x
  3. Step 3: Cross multiply
    9,314x = 13,961 × 13,961
  4. Step 4: Simplify right side
    9,314x = 194,909,521
  5. Step 5: Solve for x
    x = 194,909,521/9,314
  6. Step 6: Final answer
    x = 20,926.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.