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Finding the Third Proportional to 4,287 and 4,911

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Solution

The third proportional to 4,287 and 4,911 is: 5,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287 : 4,911 = 4,911 : x
  2. Step 2: Convert to fraction form
    4,287/4,911 = 4,911/x
  3. Step 3: Cross multiply
    4,287x = 4,911 × 4,911
  4. Step 4: Simplify right side
    4,287x = 24,117,921
  5. Step 5: Solve for x
    x = 24,117,921/4,287
  6. Step 6: Final answer
    x = 5,625.83

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.