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Finding the Third Proportional to 2,037 and 2,741.25

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Solution

The third proportional to 2,037 and 2,741.25 is: 3,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 2,741.25 = 2,741.25 : x
  2. Step 2: Convert to fraction form
    2,037/2,741.25 = 2,741.25/x
  3. Step 3: Cross multiply
    2,037x = 2,741.25 × 2,741.25
  4. Step 4: Simplify right side
    2,037x = 7,514,451.56
  5. Step 5: Solve for x
    x = 7,514,451.56/2,037
  6. Step 6: Final answer
    x = 3,688.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.