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Finding the Third Proportional to 35,977 and 54,467

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Solution

The third proportional to 35,977 and 54,467 is: 82,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977 : 54,467 = 54,467 : x
  2. Step 2: Convert to fraction form
    35,977/54,467 = 54,467/x
  3. Step 3: Cross multiply
    35,977x = 54,467 × 54,467
  4. Step 4: Simplify right side
    35,977x = 2,966,654,089
  5. Step 5: Solve for x
    x = 2,966,654,089/35,977
  6. Step 6: Final answer
    x = 82,459.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.