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Finding the Third Proportional to 34,412 and 37,652

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Solution

The third proportional to 34,412 and 37,652 is: 41,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412 : 37,652 = 37,652 : x
  2. Step 2: Convert to fraction form
    34,412/37,652 = 37,652/x
  3. Step 3: Cross multiply
    34,412x = 37,652 × 37,652
  4. Step 4: Simplify right side
    34,412x = 1,417,673,104
  5. Step 5: Solve for x
    x = 1,417,673,104/34,412
  6. Step 6: Final answer
    x = 41,197.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.