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Finding the Third Proportional to 2,494 and 3,915

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Solution

The third proportional to 2,494 and 3,915 is: 6,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494 : 3,915 = 3,915 : x
  2. Step 2: Convert to fraction form
    2,494/3,915 = 3,915/x
  3. Step 3: Cross multiply
    2,494x = 3,915 × 3,915
  4. Step 4: Simplify right side
    2,494x = 15,327,225
  5. Step 5: Solve for x
    x = 15,327,225/2,494
  6. Step 6: Final answer
    x = 6,145.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.