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Finding the Third Proportional to 20,148.12 and 43,269.19

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Solution

The third proportional to 20,148.12 and 43,269.19 is: 92,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.12 : 43,269.19 = 43,269.19 : x
  2. Step 2: Convert to fraction form
    20,148.12/43,269.19 = 43,269.19/x
  3. Step 3: Cross multiply
    20,148.12x = 43,269.19 × 43,269.19
  4. Step 4: Simplify right side
    20,148.12x = 1,872,222,586.91
  5. Step 5: Solve for x
    x = 1,872,222,586.91/20,148.12
  6. Step 6: Final answer
    x = 92,922.96

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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.