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Finding the Third Proportional to 2,804.20 and 5,899.08

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Solution

The third proportional to 2,804.20 and 5,899.08 is: 12,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.20 : 5,899.08 = 5,899.08 : x
  2. Step 2: Convert to fraction form
    2,804.20/5,899.08 = 5,899.08/x
  3. Step 3: Cross multiply
    2,804.20x = 5,899.08 × 5,899.08
  4. Step 4: Simplify right side
    2,804.20x = 34,799,122.72
  5. Step 5: Solve for x
    x = 34,799,122.72/2,804.20
  6. Step 6: Final answer
    x = 12,409.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.