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Finding the Third Proportional to 1,781 and 2,377

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Solution

The third proportional to 1,781 and 2,377 is: 3,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781 : 2,377 = 2,377 : x
  2. Step 2: Convert to fraction form
    1,781/2,377 = 2,377/x
  3. Step 3: Cross multiply
    1,781x = 2,377 × 2,377
  4. Step 4: Simplify right side
    1,781x = 5,650,129
  5. Step 5: Solve for x
    x = 5,650,129/1,781
  6. Step 6: Final answer
    x = 3,172.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.