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Finding the Third Proportional to 4,220 and 5,084

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Solution

The third proportional to 4,220 and 5,084 is: 6,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220 : 5,084 = 5,084 : x
  2. Step 2: Convert to fraction form
    4,220/5,084 = 5,084/x
  3. Step 3: Cross multiply
    4,220x = 5,084 × 5,084
  4. Step 4: Simplify right side
    4,220x = 25,847,056
  5. Step 5: Solve for x
    x = 25,847,056/4,220
  6. Step 6: Final answer
    x = 6,124.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.