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Finding the Third Proportional to 37,610 and 80,404

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Solution

The third proportional to 37,610 and 80,404 is: 171,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610 : 80,404 = 80,404 : x
  2. Step 2: Convert to fraction form
    37,610/80,404 = 80,404/x
  3. Step 3: Cross multiply
    37,610x = 80,404 × 80,404
  4. Step 4: Simplify right side
    37,610x = 6,464,803,216
  5. Step 5: Solve for x
    x = 6,464,803,216/37,610
  6. Step 6: Final answer
    x = 171,890.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.