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Finding the Third Proportional to 19,351 and 39,521.50

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Solution

The third proportional to 19,351 and 39,521.50 is: 80,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,351 : 39,521.50 = 39,521.50 : x
  2. Step 2: Convert to fraction form
    19,351/39,521.50 = 39,521.50/x
  3. Step 3: Cross multiply
    19,351x = 39,521.50 × 39,521.50
  4. Step 4: Simplify right side
    19,351x = 1,561,948,962.25
  5. Step 5: Solve for x
    x = 1,561,948,962.25/19,351
  6. Step 6: Final answer
    x = 80,716.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.