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Finding the Third Proportional to 30,396 and 44,544

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Solution

The third proportional to 30,396 and 44,544 is: 65,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396 : 44,544 = 44,544 : x
  2. Step 2: Convert to fraction form
    30,396/44,544 = 44,544/x
  3. Step 3: Cross multiply
    30,396x = 44,544 × 44,544
  4. Step 4: Simplify right side
    30,396x = 1,984,167,936
  5. Step 5: Solve for x
    x = 1,984,167,936/30,396
  6. Step 6: Final answer
    x = 65,277.27

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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.