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Finding the Third Proportional to 45,410 and 67,467

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Solution

The third proportional to 45,410 and 67,467 is: 100,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,410 : 67,467 = 67,467 : x
  2. Step 2: Convert to fraction form
    45,410/67,467 = 67,467/x
  3. Step 3: Cross multiply
    45,410x = 67,467 × 67,467
  4. Step 4: Simplify right side
    45,410x = 4,551,796,089
  5. Step 5: Solve for x
    x = 4,551,796,089/45,410
  6. Step 6: Final answer
    x = 100,237.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.