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Finding the Third Proportional to 36,586.69 and 76,021.03

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Solution

The third proportional to 36,586.69 and 76,021.03 is: 157,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586.69 : 76,021.03 = 76,021.03 : x
  2. Step 2: Convert to fraction form
    36,586.69/76,021.03 = 76,021.03/x
  3. Step 3: Cross multiply
    36,586.69x = 76,021.03 × 76,021.03
  4. Step 4: Simplify right side
    36,586.69x = 5,779,197,192.31
  5. Step 5: Solve for x
    x = 5,779,197,192.31/36,586.69
  6. Step 6: Final answer
    x = 157,959.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.