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Finding the Third Proportional to 36,000 and 75,654

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Solution

The third proportional to 36,000 and 75,654 is: 158,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 75,654 = 75,654 : x
  2. Step 2: Convert to fraction form
    36,000/75,654 = 75,654/x
  3. Step 3: Cross multiply
    36,000x = 75,654 × 75,654
  4. Step 4: Simplify right side
    36,000x = 5,723,527,716
  5. Step 5: Solve for x
    x = 5,723,527,716/36,000
  6. Step 6: Final answer
    x = 158,986.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.