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Finding the Third Proportional to 36,930 and 86,700

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Solution

The third proportional to 36,930 and 86,700 is: 203,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930 : 86,700 = 86,700 : x
  2. Step 2: Convert to fraction form
    36,930/86,700 = 86,700/x
  3. Step 3: Cross multiply
    36,930x = 86,700 × 86,700
  4. Step 4: Simplify right side
    36,930x = 7,516,890,000
  5. Step 5: Solve for x
    x = 7,516,890,000/36,930
  6. Step 6: Final answer
    x = 203,544.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.