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Finding the Third Proportional to 2,938.50 and 6,819.75

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Solution

The third proportional to 2,938.50 and 6,819.75 is: 15,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.50 : 6,819.75 = 6,819.75 : x
  2. Step 2: Convert to fraction form
    2,938.50/6,819.75 = 6,819.75/x
  3. Step 3: Cross multiply
    2,938.50x = 6,819.75 × 6,819.75
  4. Step 4: Simplify right side
    2,938.50x = 46,508,990.06
  5. Step 5: Solve for x
    x = 46,508,990.06/2,938.50
  6. Step 6: Final answer
    x = 15,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.