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Finding the Third Proportional to 9,371 and 14,005

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Solution

The third proportional to 9,371 and 14,005 is: 20,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371 : 14,005 = 14,005 : x
  2. Step 2: Convert to fraction form
    9,371/14,005 = 14,005/x
  3. Step 3: Cross multiply
    9,371x = 14,005 × 14,005
  4. Step 4: Simplify right side
    9,371x = 196,140,025
  5. Step 5: Solve for x
    x = 196,140,025/9,371
  6. Step 6: Final answer
    x = 20,930.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.