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Finding the Third Proportional to 3,093 and 6,672.50

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Solution

The third proportional to 3,093 and 6,672.50 is: 14,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093 : 6,672.50 = 6,672.50 : x
  2. Step 2: Convert to fraction form
    3,093/6,672.50 = 6,672.50/x
  3. Step 3: Cross multiply
    3,093x = 6,672.50 × 6,672.50
  4. Step 4: Simplify right side
    3,093x = 44,522,256.25
  5. Step 5: Solve for x
    x = 44,522,256.25/3,093
  6. Step 6: Final answer
    x = 14,394.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.