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Finding the Third Proportional to 2,790.19 and 5,867.63

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Solution

The third proportional to 2,790.19 and 5,867.63 is: 12,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.19 : 5,867.63 = 5,867.63 : x
  2. Step 2: Convert to fraction form
    2,790.19/5,867.63 = 5,867.63/x
  3. Step 3: Cross multiply
    2,790.19x = 5,867.63 × 5,867.63
  4. Step 4: Simplify right side
    2,790.19x = 34,429,023.14
  5. Step 5: Solve for x
    x = 34,429,023.14/2,790.19
  6. Step 6: Final answer
    x = 12,339.32

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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.