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Finding the Third Proportional to 2,819.12 and 3,941.29

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Solution

The third proportional to 2,819.12 and 3,941.29 is: 5,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.12 : 3,941.29 = 3,941.29 : x
  2. Step 2: Convert to fraction form
    2,819.12/3,941.29 = 3,941.29/x
  3. Step 3: Cross multiply
    2,819.12x = 3,941.29 × 3,941.29
  4. Step 4: Simplify right side
    2,819.12x = 15,533,774.87
  5. Step 5: Solve for x
    x = 15,533,774.87/2,819.12
  6. Step 6: Final answer
    x = 5,510.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.