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Finding the Third Proportional to 3,838 and 6,185

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Solution

The third proportional to 3,838 and 6,185 is: 9,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838 : 6,185 = 6,185 : x
  2. Step 2: Convert to fraction form
    3,838/6,185 = 6,185/x
  3. Step 3: Cross multiply
    3,838x = 6,185 × 6,185
  4. Step 4: Simplify right side
    3,838x = 38,254,225
  5. Step 5: Solve for x
    x = 38,254,225/3,838
  6. Step 6: Final answer
    x = 9,967.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.