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Finding the Third Proportional to 20,576.53 and 30,777.05

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Solution

The third proportional to 20,576.53 and 30,777.05 is: 46,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.53 : 30,777.05 = 30,777.05 : x
  2. Step 2: Convert to fraction form
    20,576.53/30,777.05 = 30,777.05/x
  3. Step 3: Cross multiply
    20,576.53x = 30,777.05 × 30,777.05
  4. Step 4: Simplify right side
    20,576.53x = 947,226,614.35
  5. Step 5: Solve for x
    x = 947,226,614.35/20,576.53
  6. Step 6: Final answer
    x = 46,034.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.