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Finding the Third Proportional to 8,972 and 12,314

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Solution

The third proportional to 8,972 and 12,314 is: 16,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972 : 12,314 = 12,314 : x
  2. Step 2: Convert to fraction form
    8,972/12,314 = 12,314/x
  3. Step 3: Cross multiply
    8,972x = 12,314 × 12,314
  4. Step 4: Simplify right side
    8,972x = 151,634,596
  5. Step 5: Solve for x
    x = 151,634,596/8,972
  6. Step 6: Final answer
    x = 16,900.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.