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Finding the Third Proportional to 2,719.13 and 4,735.69

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Solution

The third proportional to 2,719.13 and 4,735.69 is: 8,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.13 : 4,735.69 = 4,735.69 : x
  2. Step 2: Convert to fraction form
    2,719.13/4,735.69 = 4,735.69/x
  3. Step 3: Cross multiply
    2,719.13x = 4,735.69 × 4,735.69
  4. Step 4: Simplify right side
    2,719.13x = 22,426,736.10
  5. Step 5: Solve for x
    x = 22,426,736.10/2,719.13
  6. Step 6: Final answer
    x = 8,247.78

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.