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Finding the Third Proportional to 8,152 and 12,306

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Solution

The third proportional to 8,152 and 12,306 is: 18,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152 : 12,306 = 12,306 : x
  2. Step 2: Convert to fraction form
    8,152/12,306 = 12,306/x
  3. Step 3: Cross multiply
    8,152x = 12,306 × 12,306
  4. Step 4: Simplify right side
    8,152x = 151,437,636
  5. Step 5: Solve for x
    x = 151,437,636/8,152
  6. Step 6: Final answer
    x = 18,576.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.