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Finding the Third Proportional to 45,817 and 67,084

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Solution

The third proportional to 45,817 and 67,084 is: 98,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,817 : 67,084 = 67,084 : x
  2. Step 2: Convert to fraction form
    45,817/67,084 = 67,084/x
  3. Step 3: Cross multiply
    45,817x = 67,084 × 67,084
  4. Step 4: Simplify right side
    45,817x = 4,500,263,056
  5. Step 5: Solve for x
    x = 4,500,263,056/45,817
  6. Step 6: Final answer
    x = 98,222.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.