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Finding the Third Proportional to 13,501.69 and 20,184.19

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Solution

The third proportional to 13,501.69 and 20,184.19 is: 30,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.69 : 20,184.19 = 20,184.19 : x
  2. Step 2: Convert to fraction form
    13,501.69/20,184.19 = 20,184.19/x
  3. Step 3: Cross multiply
    13,501.69x = 20,184.19 × 20,184.19
  4. Step 4: Simplify right side
    13,501.69x = 407,401,425.04
  5. Step 5: Solve for x
    x = 407,401,425.04/13,501.69
  6. Step 6: Final answer
    x = 30,174.11

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