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Finding the Third Proportional to 3,840 and 4,152

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Solution

The third proportional to 3,840 and 4,152 is: 4,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 4,152 = 4,152 : x
  2. Step 2: Convert to fraction form
    3,840/4,152 = 4,152/x
  3. Step 3: Cross multiply
    3,840x = 4,152 × 4,152
  4. Step 4: Simplify right side
    3,840x = 17,239,104
  5. Step 5: Solve for x
    x = 17,239,104/3,840
  6. Step 6: Final answer
    x = 4,489.35

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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.