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Finding the Third Proportional to 11,276.25 and 16,028.25

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Solution

The third proportional to 11,276.25 and 16,028.25 is: 22,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.25 : 16,028.25 = 16,028.25 : x
  2. Step 2: Convert to fraction form
    11,276.25/16,028.25 = 16,028.25/x
  3. Step 3: Cross multiply
    11,276.25x = 16,028.25 × 16,028.25
  4. Step 4: Simplify right side
    11,276.25x = 256,904,798.06
  5. Step 5: Solve for x
    x = 256,904,798.06/11,276.25
  6. Step 6: Final answer
    x = 22,782.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.