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Finding the Third Proportional to 37,710 and 74,467

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Solution

The third proportional to 37,710 and 74,467 is: 147,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710 : 74,467 = 74,467 : x
  2. Step 2: Convert to fraction form
    37,710/74,467 = 74,467/x
  3. Step 3: Cross multiply
    37,710x = 74,467 × 74,467
  4. Step 4: Simplify right side
    37,710x = 5,545,334,089
  5. Step 5: Solve for x
    x = 5,545,334,089/37,710
  6. Step 6: Final answer
    x = 147,052.08

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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.