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Finding the Third Proportional to 8,064 and 18,816

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Solution

The third proportional to 8,064 and 18,816 is: 43,904

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064 : 18,816 = 18,816 : x
  2. Step 2: Convert to fraction form
    8,064/18,816 = 18,816/x
  3. Step 3: Cross multiply
    8,064x = 18,816 × 18,816
  4. Step 4: Simplify right side
    8,064x = 354,041,856
  5. Step 5: Solve for x
    x = 354,041,856/8,064
  6. Step 6: Final answer
    x = 43,904

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.