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Finding the Third Proportional to 12,378.50 and 19,327

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Solution

The third proportional to 12,378.50 and 19,327 is: 30,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.50 : 19,327 = 19,327 : x
  2. Step 2: Convert to fraction form
    12,378.50/19,327 = 19,327/x
  3. Step 3: Cross multiply
    12,378.50x = 19,327 × 19,327
  4. Step 4: Simplify right side
    12,378.50x = 373,532,929
  5. Step 5: Solve for x
    x = 373,532,929/12,378.50
  6. Step 6: Final answer
    x = 30,175.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.