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Finding the Third Proportional to 4,276.97 and 11,533.22

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Solution

The third proportional to 4,276.97 and 11,533.22 is: 31,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.97 : 11,533.22 = 11,533.22 : x
  2. Step 2: Convert to fraction form
    4,276.97/11,533.22 = 11,533.22/x
  3. Step 3: Cross multiply
    4,276.97x = 11,533.22 × 11,533.22
  4. Step 4: Simplify right side
    4,276.97x = 133,015,134.74
  5. Step 5: Solve for x
    x = 133,015,134.74/4,276.97
  6. Step 6: Final answer
    x = 31,100.33

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.