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Finding the Third Proportional to 20,464.50 and 31,541.25

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Solution

The third proportional to 20,464.50 and 31,541.25 is: 48,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.50 : 31,541.25 = 31,541.25 : x
  2. Step 2: Convert to fraction form
    20,464.50/31,541.25 = 31,541.25/x
  3. Step 3: Cross multiply
    20,464.50x = 31,541.25 × 31,541.25
  4. Step 4: Simplify right side
    20,464.50x = 994,850,451.56
  5. Step 5: Solve for x
    x = 994,850,451.56/20,464.50
  6. Step 6: Final answer
    x = 48,613.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.