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Finding the Third Proportional to 19,396.50 and 29,658.38

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Solution

The third proportional to 19,396.50 and 29,658.38 is: 45,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396.50 : 29,658.38 = 29,658.38 : x
  2. Step 2: Convert to fraction form
    19,396.50/29,658.38 = 29,658.38/x
  3. Step 3: Cross multiply
    19,396.50x = 29,658.38 × 29,658.38
  4. Step 4: Simplify right side
    19,396.50x = 879,619,207.64
  5. Step 5: Solve for x
    x = 879,619,207.64/19,396.50
  6. Step 6: Final answer
    x = 45,349.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.