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Finding the Third Proportional to 2,056 and 3,797

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Solution

The third proportional to 2,056 and 3,797 is: 7,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056 : 3,797 = 3,797 : x
  2. Step 2: Convert to fraction form
    2,056/3,797 = 3,797/x
  3. Step 3: Cross multiply
    2,056x = 3,797 × 3,797
  4. Step 4: Simplify right side
    2,056x = 14,417,209
  5. Step 5: Solve for x
    x = 14,417,209/2,056
  6. Step 6: Final answer
    x = 7,012.26

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.