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Finding the Third Proportional to 12,864 and 29,880

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Solution

The third proportional to 12,864 and 29,880 is: 69,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864 : 29,880 = 29,880 : x
  2. Step 2: Convert to fraction form
    12,864/29,880 = 29,880/x
  3. Step 3: Cross multiply
    12,864x = 29,880 × 29,880
  4. Step 4: Simplify right side
    12,864x = 892,814,400
  5. Step 5: Solve for x
    x = 892,814,400/12,864
  6. Step 6: Final answer
    x = 69,404.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.