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Finding the Third Proportional to 30,300 and 44,100

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Solution

The third proportional to 30,300 and 44,100 is: 64,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300 : 44,100 = 44,100 : x
  2. Step 2: Convert to fraction form
    30,300/44,100 = 44,100/x
  3. Step 3: Cross multiply
    30,300x = 44,100 × 44,100
  4. Step 4: Simplify right side
    30,300x = 1,944,810,000
  5. Step 5: Solve for x
    x = 1,944,810,000/30,300
  6. Step 6: Final answer
    x = 64,185.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.