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Finding the Third Proportional to 37,714 and 74,476

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Solution

The third proportional to 37,714 and 74,476 is: 147,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714 : 74,476 = 74,476 : x
  2. Step 2: Convert to fraction form
    37,714/74,476 = 74,476/x
  3. Step 3: Cross multiply
    37,714x = 74,476 × 74,476
  4. Step 4: Simplify right side
    37,714x = 5,546,674,576
  5. Step 5: Solve for x
    x = 5,546,674,576/37,714
  6. Step 6: Final answer
    x = 147,072.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.