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Finding the Third Proportional to 19,329 and 31,393.50

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Solution

The third proportional to 19,329 and 31,393.50 is: 50,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,329 : 31,393.50 = 31,393.50 : x
  2. Step 2: Convert to fraction form
    19,329/31,393.50 = 31,393.50/x
  3. Step 3: Cross multiply
    19,329x = 31,393.50 × 31,393.50
  4. Step 4: Simplify right side
    19,329x = 985,551,842.25
  5. Step 5: Solve for x
    x = 985,551,842.25/19,329
  6. Step 6: Final answer
    x = 50,988.25

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.