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Finding the Third Proportional to 33,003 and 43,762.50

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Solution

The third proportional to 33,003 and 43,762.50 is: 58,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,003 : 43,762.50 = 43,762.50 : x
  2. Step 2: Convert to fraction form
    33,003/43,762.50 = 43,762.50/x
  3. Step 3: Cross multiply
    33,003x = 43,762.50 × 43,762.50
  4. Step 4: Simplify right side
    33,003x = 1,915,156,406.25
  5. Step 5: Solve for x
    x = 1,915,156,406.25/33,003
  6. Step 6: Final answer
    x = 58,029.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.