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Finding the Third Proportional to 9,716 and 14,234

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Solution

The third proportional to 9,716 and 14,234 is: 20,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716 : 14,234 = 14,234 : x
  2. Step 2: Convert to fraction form
    9,716/14,234 = 14,234/x
  3. Step 3: Cross multiply
    9,716x = 14,234 × 14,234
  4. Step 4: Simplify right side
    9,716x = 202,606,756
  5. Step 5: Solve for x
    x = 202,606,756/9,716
  6. Step 6: Final answer
    x = 20,852.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.