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Finding the Third Proportional to 36,590 and 76,051

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Solution

The third proportional to 36,590 and 76,051 is: 158,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,590 : 76,051 = 76,051 : x
  2. Step 2: Convert to fraction form
    36,590/76,051 = 76,051/x
  3. Step 3: Cross multiply
    36,590x = 76,051 × 76,051
  4. Step 4: Simplify right side
    36,590x = 5,783,754,601
  5. Step 5: Solve for x
    x = 5,783,754,601/36,590
  6. Step 6: Final answer
    x = 158,069.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.