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Finding the Third Proportional to 13,788.56 and 18,490.78

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Solution

The third proportional to 13,788.56 and 18,490.78 is: 24,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.56 : 18,490.78 = 18,490.78 : x
  2. Step 2: Convert to fraction form
    13,788.56/18,490.78 = 18,490.78/x
  3. Step 3: Cross multiply
    13,788.56x = 18,490.78 × 18,490.78
  4. Step 4: Simplify right side
    13,788.56x = 341,908,991.24
  5. Step 5: Solve for x
    x = 341,908,991.24/13,788.56
  6. Step 6: Final answer
    x = 24,796.57

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.