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Finding the Third Proportional to 2,814 and 7,035

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Solution

The third proportional to 2,814 and 7,035 is: 17,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814 : 7,035 = 7,035 : x
  2. Step 2: Convert to fraction form
    2,814/7,035 = 7,035/x
  3. Step 3: Cross multiply
    2,814x = 7,035 × 7,035
  4. Step 4: Simplify right side
    2,814x = 49,491,225
  5. Step 5: Solve for x
    x = 49,491,225/2,814
  6. Step 6: Final answer
    x = 17,587.50

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.