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Finding the Third Proportional to 28,982 and 46,067

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Solution

The third proportional to 28,982 and 46,067 is: 73,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,982 : 46,067 = 46,067 : x
  2. Step 2: Convert to fraction form
    28,982/46,067 = 46,067/x
  3. Step 3: Cross multiply
    28,982x = 46,067 × 46,067
  4. Step 4: Simplify right side
    28,982x = 2,122,168,489
  5. Step 5: Solve for x
    x = 2,122,168,489/28,982
  6. Step 6: Final answer
    x = 73,223.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.