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Finding the Third Proportional to 20,508.19 and 30,825.56

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Solution

The third proportional to 20,508.19 and 30,825.56 is: 46,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.19 : 30,825.56 = 30,825.56 : x
  2. Step 2: Convert to fraction form
    20,508.19/30,825.56 = 30,825.56/x
  3. Step 3: Cross multiply
    20,508.19x = 30,825.56 × 30,825.56
  4. Step 4: Simplify right side
    20,508.19x = 950,215,303.44
  5. Step 5: Solve for x
    x = 950,215,303.44/20,508.19
  6. Step 6: Final answer
    x = 46,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.