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Finding the Third Proportional to 1,842.75 and 2,655.28

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Solution

The third proportional to 1,842.75 and 2,655.28 is: 3,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.75 : 2,655.28 = 2,655.28 : x
  2. Step 2: Convert to fraction form
    1,842.75/2,655.28 = 2,655.28/x
  3. Step 3: Cross multiply
    1,842.75x = 2,655.28 × 2,655.28
  4. Step 4: Simplify right side
    1,842.75x = 7,050,518.52
  5. Step 5: Solve for x
    x = 7,050,518.52/1,842.75
  6. Step 6: Final answer
    x = 3,826.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.