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Finding the Third Proportional to 1,728 and 3,840

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Solution

The third proportional to 1,728 and 3,840 is: 8,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 3,840 = 3,840 : x
  2. Step 2: Convert to fraction form
    1,728/3,840 = 3,840/x
  3. Step 3: Cross multiply
    1,728x = 3,840 × 3,840
  4. Step 4: Simplify right side
    1,728x = 14,745,600
  5. Step 5: Solve for x
    x = 14,745,600/1,728
  6. Step 6: Final answer
    x = 8,533.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.