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Finding the Third Proportional to 2,314 and 4,035

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Solution

The third proportional to 2,314 and 4,035 is: 7,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314 : 4,035 = 4,035 : x
  2. Step 2: Convert to fraction form
    2,314/4,035 = 4,035/x
  3. Step 3: Cross multiply
    2,314x = 4,035 × 4,035
  4. Step 4: Simplify right side
    2,314x = 16,281,225
  5. Step 5: Solve for x
    x = 16,281,225/2,314
  6. Step 6: Final answer
    x = 7,035.97

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.