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Finding the Third Proportional to 13,518.56 and 20,165.84

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Solution

The third proportional to 13,518.56 and 20,165.84 is: 30,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.56 : 20,165.84 = 20,165.84 : x
  2. Step 2: Convert to fraction form
    13,518.56/20,165.84 = 20,165.84/x
  3. Step 3: Cross multiply
    13,518.56x = 20,165.84 × 20,165.84
  4. Step 4: Simplify right side
    13,518.56x = 406,660,939.06
  5. Step 5: Solve for x
    x = 406,660,939.06/13,518.56
  6. Step 6: Final answer
    x = 30,081.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.