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Finding the Third Proportional to 31,144.50 and 48,354.75

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Solution

The third proportional to 31,144.50 and 48,354.75 is: 75,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.50 : 48,354.75 = 48,354.75 : x
  2. Step 2: Convert to fraction form
    31,144.50/48,354.75 = 48,354.75/x
  3. Step 3: Cross multiply
    31,144.50x = 48,354.75 × 48,354.75
  4. Step 4: Simplify right side
    31,144.50x = 2,338,181,847.56
  5. Step 5: Solve for x
    x = 2,338,181,847.56/31,144.50
  6. Step 6: Final answer
    x = 75,075.27

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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.