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Finding the Third Proportional to 12,015.84 and 18,597.09

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Solution

The third proportional to 12,015.84 and 18,597.09 is: 28,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.84 : 18,597.09 = 18,597.09 : x
  2. Step 2: Convert to fraction form
    12,015.84/18,597.09 = 18,597.09/x
  3. Step 3: Cross multiply
    12,015.84x = 18,597.09 × 18,597.09
  4. Step 4: Simplify right side
    12,015.84x = 345,851,895.95
  5. Step 5: Solve for x
    x = 345,851,895.95/12,015.84
  6. Step 6: Final answer
    x = 28,782.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.