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Finding the Third Proportional to 19,734.26 and 29,370.73

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Solution

The third proportional to 19,734.26 and 29,370.73 is: 43,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734.26 : 29,370.73 = 29,370.73 : x
  2. Step 2: Convert to fraction form
    19,734.26/29,370.73 = 29,370.73/x
  3. Step 3: Cross multiply
    19,734.26x = 29,370.73 × 29,370.73
  4. Step 4: Simplify right side
    19,734.26x = 862,639,578.81
  5. Step 5: Solve for x
    x = 862,639,578.81/19,734.26
  6. Step 6: Final answer
    x = 43,712.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.