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Finding the Third Proportional to 36,556 and 78,038

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Solution

The third proportional to 36,556 and 78,038 is: 166,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,556 : 78,038 = 78,038 : x
  2. Step 2: Convert to fraction form
    36,556/78,038 = 78,038/x
  3. Step 3: Cross multiply
    36,556x = 78,038 × 78,038
  4. Step 4: Simplify right side
    36,556x = 6,089,929,444
  5. Step 5: Solve for x
    x = 6,089,929,444/36,556
  6. Step 6: Final answer
    x = 166,591.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.