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Finding the Third Proportional to 36,559 and 79,809.50

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Solution

The third proportional to 36,559 and 79,809.50 is: 174,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,559 : 79,809.50 = 79,809.50 : x
  2. Step 2: Convert to fraction form
    36,559/79,809.50 = 79,809.50/x
  3. Step 3: Cross multiply
    36,559x = 79,809.50 × 79,809.50
  4. Step 4: Simplify right side
    36,559x = 6,369,556,290.25
  5. Step 5: Solve for x
    x = 6,369,556,290.25/36,559
  6. Step 6: Final answer
    x = 174,226.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.