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Finding the Third Proportional to 19,803.66 and 29,708.44

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Solution

The third proportional to 19,803.66 and 29,708.44 is: 44,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.66 : 29,708.44 = 29,708.44 : x
  2. Step 2: Convert to fraction form
    19,803.66/29,708.44 = 29,708.44/x
  3. Step 3: Cross multiply
    19,803.66x = 29,708.44 × 29,708.44
  4. Step 4: Simplify right side
    19,803.66x = 882,591,258.69
  5. Step 5: Solve for x
    x = 882,591,258.69/19,803.66
  6. Step 6: Final answer
    x = 44,567.09

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