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Finding the Third Proportional to 46,992 and 66,815

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Solution

The third proportional to 46,992 and 66,815 is: 95,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992 : 66,815 = 66,815 : x
  2. Step 2: Convert to fraction form
    46,992/66,815 = 66,815/x
  3. Step 3: Cross multiply
    46,992x = 66,815 × 66,815
  4. Step 4: Simplify right side
    46,992x = 4,464,244,225
  5. Step 5: Solve for x
    x = 4,464,244,225/46,992
  6. Step 6: Final answer
    x = 95,000.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.