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Finding the Third Proportional to 3,261.06 and 4,953.94

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Solution

The third proportional to 3,261.06 and 4,953.94 is: 7,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.06 : 4,953.94 = 4,953.94 : x
  2. Step 2: Convert to fraction form
    3,261.06/4,953.94 = 4,953.94/x
  3. Step 3: Cross multiply
    3,261.06x = 4,953.94 × 4,953.94
  4. Step 4: Simplify right side
    3,261.06x = 24,541,496.75
  5. Step 5: Solve for x
    x = 24,541,496.75/3,261.06
  6. Step 6: Final answer
    x = 7,525.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.