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Finding the Third Proportional to 37,044 and 80,652

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Solution

The third proportional to 37,044 and 80,652 is: 175,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,044 : 80,652 = 80,652 : x
  2. Step 2: Convert to fraction form
    37,044/80,652 = 80,652/x
  3. Step 3: Cross multiply
    37,044x = 80,652 × 80,652
  4. Step 4: Simplify right side
    37,044x = 6,504,745,104
  5. Step 5: Solve for x
    x = 6,504,745,104/37,044
  6. Step 6: Final answer
    x = 175,595.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.