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Finding the Third Proportional to 33,064.88 and 78,038.44

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Solution

The third proportional to 33,064.88 and 78,038.44 is: 184,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064.88 : 78,038.44 = 78,038.44 : x
  2. Step 2: Convert to fraction form
    33,064.88/78,038.44 = 78,038.44/x
  3. Step 3: Cross multiply
    33,064.88x = 78,038.44 × 78,038.44
  4. Step 4: Simplify right side
    33,064.88x = 6,089,997,727.44
  5. Step 5: Solve for x
    x = 6,089,997,727.44/33,064.88
  6. Step 6: Final answer
    x = 184,183.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.