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Finding the Third Proportional to 3,840 and 6,014

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Solution

The third proportional to 3,840 and 6,014 is: 9,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 6,014 = 6,014 : x
  2. Step 2: Convert to fraction form
    3,840/6,014 = 6,014/x
  3. Step 3: Cross multiply
    3,840x = 6,014 × 6,014
  4. Step 4: Simplify right side
    3,840x = 36,168,196
  5. Step 5: Solve for x
    x = 36,168,196/3,840
  6. Step 6: Final answer
    x = 9,418.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.