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Finding the Third Proportional to 8,064 and 12,880

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Solution

The third proportional to 8,064 and 12,880 is: 20,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064 : 12,880 = 12,880 : x
  2. Step 2: Convert to fraction form
    8,064/12,880 = 12,880/x
  3. Step 3: Cross multiply
    8,064x = 12,880 × 12,880
  4. Step 4: Simplify right side
    8,064x = 165,894,400
  5. Step 5: Solve for x
    x = 165,894,400/8,064
  6. Step 6: Final answer
    x = 20,572.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.