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Finding the Third Proportional to 12,322.13 and 20,184.19

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Solution

The third proportional to 12,322.13 and 20,184.19 is: 33,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.13 : 20,184.19 = 20,184.19 : x
  2. Step 2: Convert to fraction form
    12,322.13/20,184.19 = 20,184.19/x
  3. Step 3: Cross multiply
    12,322.13x = 20,184.19 × 20,184.19
  4. Step 4: Simplify right side
    12,322.13x = 407,401,425.04
  5. Step 5: Solve for x
    x = 407,401,425.04/12,322.13
  6. Step 6: Final answer
    x = 33,062.59

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.