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Finding the Third Proportional to 8,969 and 12,306

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Solution

The third proportional to 8,969 and 12,306 is: 16,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969 : 12,306 = 12,306 : x
  2. Step 2: Convert to fraction form
    8,969/12,306 = 12,306/x
  3. Step 3: Cross multiply
    8,969x = 12,306 × 12,306
  4. Step 4: Simplify right side
    8,969x = 151,437,636
  5. Step 5: Solve for x
    x = 151,437,636/8,969
  6. Step 6: Final answer
    x = 16,884.56

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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.