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Finding the Third Proportional to 20,482.24 and 30,911.31

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Solution

The third proportional to 20,482.24 and 30,911.31 is: 46,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.24 : 30,911.31 = 30,911.31 : x
  2. Step 2: Convert to fraction form
    20,482.24/30,911.31 = 30,911.31/x
  3. Step 3: Cross multiply
    20,482.24x = 30,911.31 × 30,911.31
  4. Step 4: Simplify right side
    20,482.24x = 955,508,998.98
  5. Step 5: Solve for x
    x = 955,508,998.98/20,482.24
  6. Step 6: Final answer
    x = 46,650.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.