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Finding the Third Proportional to 19,544.25 and 38,116.31

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Solution

The third proportional to 19,544.25 and 38,116.31 is: 74,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,544.25 : 38,116.31 = 38,116.31 : x
  2. Step 2: Convert to fraction form
    19,544.25/38,116.31 = 38,116.31/x
  3. Step 3: Cross multiply
    19,544.25x = 38,116.31 × 38,116.31
  4. Step 4: Simplify right side
    19,544.25x = 1,452,853,278.60
  5. Step 5: Solve for x
    x = 1,452,853,278.60/19,544.25
  6. Step 6: Final answer
    x = 74,336.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.