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Finding the Third Proportional to 2,772 and 4,178

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Solution

The third proportional to 2,772 and 4,178 is: 6,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772 : 4,178 = 4,178 : x
  2. Step 2: Convert to fraction form
    2,772/4,178 = 4,178/x
  3. Step 3: Cross multiply
    2,772x = 4,178 × 4,178
  4. Step 4: Simplify right side
    2,772x = 17,455,684
  5. Step 5: Solve for x
    x = 17,455,684/2,772
  6. Step 6: Final answer
    x = 6,297.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.