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Finding the Third Proportional to 1,957 and 4,061

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Solution

The third proportional to 1,957 and 4,061 is: 8,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957 : 4,061 = 4,061 : x
  2. Step 2: Convert to fraction form
    1,957/4,061 = 4,061/x
  3. Step 3: Cross multiply
    1,957x = 4,061 × 4,061
  4. Step 4: Simplify right side
    1,957x = 16,491,721
  5. Step 5: Solve for x
    x = 16,491,721/1,957
  6. Step 6: Final answer
    x = 8,427.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.