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Finding the Third Proportional to 5,994.56 and 13,082.06

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Solution

The third proportional to 5,994.56 and 13,082.06 is: 28,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.56 : 13,082.06 = 13,082.06 : x
  2. Step 2: Convert to fraction form
    5,994.56/13,082.06 = 13,082.06/x
  3. Step 3: Cross multiply
    5,994.56x = 13,082.06 × 13,082.06
  4. Step 4: Simplify right side
    5,994.56x = 171,140,359.25
  5. Step 5: Solve for x
    x = 171,140,359.25/5,994.56
  6. Step 6: Final answer
    x = 28,549.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.