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Finding the Third Proportional to 37,576 and 80,484

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Solution

The third proportional to 37,576 and 80,484 is: 172,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,576 : 80,484 = 80,484 : x
  2. Step 2: Convert to fraction form
    37,576/80,484 = 80,484/x
  3. Step 3: Cross multiply
    37,576x = 80,484 × 80,484
  4. Step 4: Simplify right side
    37,576x = 6,477,674,256
  5. Step 5: Solve for x
    x = 6,477,674,256/37,576
  6. Step 6: Final answer
    x = 172,388.61

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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.