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Finding the Third Proportional to 36,300.75 and 85,406.44

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Solution

The third proportional to 36,300.75 and 85,406.44 is: 200,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,300.75 : 85,406.44 = 85,406.44 : x
  2. Step 2: Convert to fraction form
    36,300.75/85,406.44 = 85,406.44/x
  3. Step 3: Cross multiply
    36,300.75x = 85,406.44 × 85,406.44
  4. Step 4: Simplify right side
    36,300.75x = 7,294,259,566.44
  5. Step 5: Solve for x
    x = 7,294,259,566.44/36,300.75
  6. Step 6: Final answer
    x = 200,939.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.