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Finding the Third Proportional to 15,042.75 and 30,450

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Solution

The third proportional to 15,042.75 and 30,450 is: 61,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042.75 : 30,450 = 30,450 : x
  2. Step 2: Convert to fraction form
    15,042.75/30,450 = 30,450/x
  3. Step 3: Cross multiply
    15,042.75x = 30,450 × 30,450
  4. Step 4: Simplify right side
    15,042.75x = 927,202,500
  5. Step 5: Solve for x
    x = 927,202,500/15,042.75
  6. Step 6: Final answer
    x = 61,637.83

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.