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Finding the Third Proportional to 15,433.31 and 33,207.19

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Solution

The third proportional to 15,433.31 and 33,207.19 is: 71,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433.31 : 33,207.19 = 33,207.19 : x
  2. Step 2: Convert to fraction form
    15,433.31/33,207.19 = 33,207.19/x
  3. Step 3: Cross multiply
    15,433.31x = 33,207.19 × 33,207.19
  4. Step 4: Simplify right side
    15,433.31x = 1,102,717,301.66
  5. Step 5: Solve for x
    x = 1,102,717,301.66/15,433.31
  6. Step 6: Final answer
    x = 71,450.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.