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Finding the Third Proportional to 19,475.44 and 29,397.94

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Solution

The third proportional to 19,475.44 and 29,397.94 is: 44,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,475.44 : 29,397.94 = 29,397.94 : x
  2. Step 2: Convert to fraction form
    19,475.44/29,397.94 = 29,397.94/x
  3. Step 3: Cross multiply
    19,475.44x = 29,397.94 × 29,397.94
  4. Step 4: Simplify right side
    19,475.44x = 864,238,729.25
  5. Step 5: Solve for x
    x = 864,238,729.25/19,475.44
  6. Step 6: Final answer
    x = 44,375.83

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