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Finding the Third Proportional to 3,850 and 6,178

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Solution

The third proportional to 3,850 and 6,178 is: 9,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850 : 6,178 = 6,178 : x
  2. Step 2: Convert to fraction form
    3,850/6,178 = 6,178/x
  3. Step 3: Cross multiply
    3,850x = 6,178 × 6,178
  4. Step 4: Simplify right side
    3,850x = 38,167,684
  5. Step 5: Solve for x
    x = 38,167,684/3,850
  6. Step 6: Final answer
    x = 9,913.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.