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Finding the Third Proportional to 14,880 and 16,064

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Solution

The third proportional to 14,880 and 16,064 is: 17,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,880 : 16,064 = 16,064 : x
  2. Step 2: Convert to fraction form
    14,880/16,064 = 16,064/x
  3. Step 3: Cross multiply
    14,880x = 16,064 × 16,064
  4. Step 4: Simplify right side
    14,880x = 258,052,096
  5. Step 5: Solve for x
    x = 258,052,096/14,880
  6. Step 6: Final answer
    x = 17,342.21

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.