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Finding the Third Proportional to 1,867 and 4,377

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Solution

The third proportional to 1,867 and 4,377 is: 10,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867 : 4,377 = 4,377 : x
  2. Step 2: Convert to fraction form
    1,867/4,377 = 4,377/x
  3. Step 3: Cross multiply
    1,867x = 4,377 × 4,377
  4. Step 4: Simplify right side
    1,867x = 19,158,129
  5. Step 5: Solve for x
    x = 19,158,129/1,867
  6. Step 6: Final answer
    x = 10,261.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.