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Finding the Third Proportional to 12,812 and 20,352

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Solution

The third proportional to 12,812 and 20,352 is: 32,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812 : 20,352 = 20,352 : x
  2. Step 2: Convert to fraction form
    12,812/20,352 = 20,352/x
  3. Step 3: Cross multiply
    12,812x = 20,352 × 20,352
  4. Step 4: Simplify right side
    12,812x = 414,203,904
  5. Step 5: Solve for x
    x = 414,203,904/12,812
  6. Step 6: Final answer
    x = 32,329.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.