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Finding the Third Proportional to 3,213.56 and 4,937.06

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Solution

The third proportional to 3,213.56 and 4,937.06 is: 7,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.56 : 4,937.06 = 4,937.06 : x
  2. Step 2: Convert to fraction form
    3,213.56/4,937.06 = 4,937.06/x
  3. Step 3: Cross multiply
    3,213.56x = 4,937.06 × 4,937.06
  4. Step 4: Simplify right side
    3,213.56x = 24,374,586.13
  5. Step 5: Solve for x
    x = 24,374,586.13/3,213.56
  6. Step 6: Final answer
    x = 7,584.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.