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Finding the Third Proportional to 30,771 and 44,003.25

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Solution

The third proportional to 30,771 and 44,003.25 is: 62,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771 : 44,003.25 = 44,003.25 : x
  2. Step 2: Convert to fraction form
    30,771/44,003.25 = 44,003.25/x
  3. Step 3: Cross multiply
    30,771x = 44,003.25 × 44,003.25
  4. Step 4: Simplify right side
    30,771x = 1,936,286,010.56
  5. Step 5: Solve for x
    x = 1,936,286,010.56/30,771
  6. Step 6: Final answer
    x = 62,925.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.