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Finding the Third Proportional to 5,490.56 and 12,074.63

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Solution

The third proportional to 5,490.56 and 12,074.63 is: 26,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.56 : 12,074.63 = 12,074.63 : x
  2. Step 2: Convert to fraction form
    5,490.56/12,074.63 = 12,074.63/x
  3. Step 3: Cross multiply
    5,490.56x = 12,074.63 × 12,074.63
  4. Step 4: Simplify right side
    5,490.56x = 145,796,568.89
  5. Step 5: Solve for x
    x = 145,796,568.89/5,490.56
  6. Step 6: Final answer
    x = 26,554.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.