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Finding the Third Proportional to 28,145.25 and 46,917

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Solution

The third proportional to 28,145.25 and 46,917 is: 78,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,145.25 : 46,917 = 46,917 : x
  2. Step 2: Convert to fraction form
    28,145.25/46,917 = 46,917/x
  3. Step 3: Cross multiply
    28,145.25x = 46,917 × 46,917
  4. Step 4: Simplify right side
    28,145.25x = 2,201,204,889
  5. Step 5: Solve for x
    x = 2,201,204,889/28,145.25
  6. Step 6: Final answer
    x = 78,208.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.