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Finding the Third Proportional to 13,719.38 and 18,635.06

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Solution

The third proportional to 13,719.38 and 18,635.06 is: 25,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.38 : 18,635.06 = 18,635.06 : x
  2. Step 2: Convert to fraction form
    13,719.38/18,635.06 = 18,635.06/x
  3. Step 3: Cross multiply
    13,719.38x = 18,635.06 × 18,635.06
  4. Step 4: Simplify right side
    13,719.38x = 347,265,554.38
  5. Step 5: Solve for x
    x = 347,265,554.38/13,719.38
  6. Step 6: Final answer
    x = 25,312.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.