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Finding the Third Proportional to 3,213 and 4,761

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Solution

The third proportional to 3,213 and 4,761 is: 7,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,761 = 4,761 : x
  2. Step 2: Convert to fraction form
    3,213/4,761 = 4,761/x
  3. Step 3: Cross multiply
    3,213x = 4,761 × 4,761
  4. Step 4: Simplify right side
    3,213x = 22,667,121
  5. Step 5: Solve for x
    x = 22,667,121/3,213
  6. Step 6: Final answer
    x = 7,054.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.