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Finding the Third Proportional to 33,520.50 and 44,712

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Solution

The third proportional to 33,520.50 and 44,712 is: 59,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520.50 : 44,712 = 44,712 : x
  2. Step 2: Convert to fraction form
    33,520.50/44,712 = 44,712/x
  3. Step 3: Cross multiply
    33,520.50x = 44,712 × 44,712
  4. Step 4: Simplify right side
    33,520.50x = 1,999,162,944
  5. Step 5: Solve for x
    x = 1,999,162,944/33,520.50
  6. Step 6: Final answer
    x = 59,640.01

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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.