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Finding the Third Proportional to 2,051 and 3,787

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Solution

The third proportional to 2,051 and 3,787 is: 6,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051 : 3,787 = 3,787 : x
  2. Step 2: Convert to fraction form
    2,051/3,787 = 3,787/x
  3. Step 3: Cross multiply
    2,051x = 3,787 × 3,787
  4. Step 4: Simplify right side
    2,051x = 14,341,369
  5. Step 5: Solve for x
    x = 14,341,369/2,051
  6. Step 6: Final answer
    x = 6,992.38

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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.