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Finding the Third Proportional to 36,260 and 76,808

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Solution

The third proportional to 36,260 and 76,808 is: 162,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,260 : 76,808 = 76,808 : x
  2. Step 2: Convert to fraction form
    36,260/76,808 = 76,808/x
  3. Step 3: Cross multiply
    36,260x = 76,808 × 76,808
  4. Step 4: Simplify right side
    36,260x = 5,899,468,864
  5. Step 5: Solve for x
    x = 5,899,468,864/36,260
  6. Step 6: Final answer
    x = 162,699.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.