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Finding the Third Proportional to 41,977 and 66,467

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Solution

The third proportional to 41,977 and 66,467 is: 105,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,977 : 66,467 = 66,467 : x
  2. Step 2: Convert to fraction form
    41,977/66,467 = 66,467/x
  3. Step 3: Cross multiply
    41,977x = 66,467 × 66,467
  4. Step 4: Simplify right side
    41,977x = 4,417,862,089
  5. Step 5: Solve for x
    x = 4,417,862,089/41,977
  6. Step 6: Final answer
    x = 105,244.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.