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Finding the Third Proportional to 16,746.75 and 33,000.75

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Solution

The third proportional to 16,746.75 and 33,000.75 is: 65,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746.75 : 33,000.75 = 33,000.75 : x
  2. Step 2: Convert to fraction form
    16,746.75/33,000.75 = 33,000.75/x
  3. Step 3: Cross multiply
    16,746.75x = 33,000.75 × 33,000.75
  4. Step 4: Simplify right side
    16,746.75x = 1,089,049,500.56
  5. Step 5: Solve for x
    x = 1,089,049,500.56/16,746.75
  6. Step 6: Final answer
    x = 65,030.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.