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Finding the Third Proportional to 30,380.25 and 44,544.38

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Solution

The third proportional to 30,380.25 and 44,544.38 is: 65,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380.25 : 44,544.38 = 44,544.38 : x
  2. Step 2: Convert to fraction form
    30,380.25/44,544.38 = 44,544.38/x
  3. Step 3: Cross multiply
    30,380.25x = 44,544.38 × 44,544.38
  4. Step 4: Simplify right side
    30,380.25x = 1,984,201,344.14
  5. Step 5: Solve for x
    x = 1,984,201,344.14/30,380.25
  6. Step 6: Final answer
    x = 65,312.21

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Why These Related Problems?

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