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Finding the Third Proportional to 40,923 and 63,405

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Solution

The third proportional to 40,923 and 63,405 is: 98,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,923 : 63,405 = 63,405 : x
  2. Step 2: Convert to fraction form
    40,923/63,405 = 63,405/x
  3. Step 3: Cross multiply
    40,923x = 63,405 × 63,405
  4. Step 4: Simplify right side
    40,923x = 4,020,194,025
  5. Step 5: Solve for x
    x = 4,020,194,025/40,923
  6. Step 6: Final answer
    x = 98,238.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.