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Finding the Third Proportional to 4,254.75 and 4,847.06

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Solution

The third proportional to 4,254.75 and 4,847.06 is: 5,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.75 : 4,847.06 = 4,847.06 : x
  2. Step 2: Convert to fraction form
    4,254.75/4,847.06 = 4,847.06/x
  3. Step 3: Cross multiply
    4,254.75x = 4,847.06 × 4,847.06
  4. Step 4: Simplify right side
    4,254.75x = 23,494,014.88
  5. Step 5: Solve for x
    x = 23,494,014.88/4,254.75
  6. Step 6: Final answer
    x = 5,521.83

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.