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Finding the Third Proportional to 30,144.09 and 44,344.97

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Solution

The third proportional to 30,144.09 and 44,344.97 is: 65,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.09 : 44,344.97 = 44,344.97 : x
  2. Step 2: Convert to fraction form
    30,144.09/44,344.97 = 44,344.97/x
  3. Step 3: Cross multiply
    30,144.09x = 44,344.97 × 44,344.97
  4. Step 4: Simplify right side
    30,144.09x = 1,966,476,253.44
  5. Step 5: Solve for x
    x = 1,966,476,253.44/30,144.09
  6. Step 6: Final answer
    x = 65,235.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.