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Finding the Third Proportional to 3,213 and 4,834.69

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Solution

The third proportional to 3,213 and 4,834.69 is: 7,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,834.69 = 4,834.69 : x
  2. Step 2: Convert to fraction form
    3,213/4,834.69 = 4,834.69/x
  3. Step 3: Cross multiply
    3,213x = 4,834.69 × 4,834.69
  4. Step 4: Simplify right side
    3,213x = 23,374,203.22
  5. Step 5: Solve for x
    x = 23,374,203.22/3,213
  6. Step 6: Final answer
    x = 7,274.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.