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Finding the Third Proportional to 7,741.41 and 16,576.03

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Solution

The third proportional to 7,741.41 and 16,576.03 is: 35,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.41 : 16,576.03 = 16,576.03 : x
  2. Step 2: Convert to fraction form
    7,741.41/16,576.03 = 16,576.03/x
  3. Step 3: Cross multiply
    7,741.41x = 16,576.03 × 16,576.03
  4. Step 4: Simplify right side
    7,741.41x = 274,764,812.00
  5. Step 5: Solve for x
    x = 274,764,812.00/7,741.41
  6. Step 6: Final answer
    x = 35,492.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.