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Finding the Third Proportional to 37,670 and 50,010

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Solution

The third proportional to 37,670 and 50,010 is: 66,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670 : 50,010 = 50,010 : x
  2. Step 2: Convert to fraction form
    37,670/50,010 = 50,010/x
  3. Step 3: Cross multiply
    37,670x = 50,010 × 50,010
  4. Step 4: Simplify right side
    37,670x = 2,501,000,100
  5. Step 5: Solve for x
    x = 2,501,000,100/37,670
  6. Step 6: Final answer
    x = 66,392.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.