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Finding the Third Proportional to 30,003 and 44,836.50

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Solution

The third proportional to 30,003 and 44,836.50 is: 67,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,003 : 44,836.50 = 44,836.50 : x
  2. Step 2: Convert to fraction form
    30,003/44,836.50 = 44,836.50/x
  3. Step 3: Cross multiply
    30,003x = 44,836.50 × 44,836.50
  4. Step 4: Simplify right side
    30,003x = 2,010,311,732.25
  5. Step 5: Solve for x
    x = 2,010,311,732.25/30,003
  6. Step 6: Final answer
    x = 67,003.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.