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Finding the Third Proportional to 14,254.31 and 33,033.66

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Solution

The third proportional to 14,254.31 and 33,033.66 is: 76,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.31 : 33,033.66 = 33,033.66 : x
  2. Step 2: Convert to fraction form
    14,254.31/33,033.66 = 33,033.66/x
  3. Step 3: Cross multiply
    14,254.31x = 33,033.66 × 33,033.66
  4. Step 4: Simplify right side
    14,254.31x = 1,091,222,445.24
  5. Step 5: Solve for x
    x = 1,091,222,445.24/14,254.31
  6. Step 6: Final answer
    x = 76,553.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.