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Finding the Third Proportional to 30,418 and 44,576

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Solution

The third proportional to 30,418 and 44,576 is: 65,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418 : 44,576 = 44,576 : x
  2. Step 2: Convert to fraction form
    30,418/44,576 = 44,576/x
  3. Step 3: Cross multiply
    30,418x = 44,576 × 44,576
  4. Step 4: Simplify right side
    30,418x = 1,987,019,776
  5. Step 5: Solve for x
    x = 1,987,019,776/30,418
  6. Step 6: Final answer
    x = 65,323.81

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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.