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Finding the Third Proportional to 36,275 and 76,900

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Solution

The third proportional to 36,275 and 76,900 is: 163,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,275 : 76,900 = 76,900 : x
  2. Step 2: Convert to fraction form
    36,275/76,900 = 76,900/x
  3. Step 3: Cross multiply
    36,275x = 76,900 × 76,900
  4. Step 4: Simplify right side
    36,275x = 5,913,610,000
  5. Step 5: Solve for x
    x = 5,913,610,000/36,275
  6. Step 6: Final answer
    x = 163,021.64

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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.