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Finding the Third Proportional to 2,878.03 and 7,026.75

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Solution

The third proportional to 2,878.03 and 7,026.75 is: 17,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.03 : 7,026.75 = 7,026.75 : x
  2. Step 2: Convert to fraction form
    2,878.03/7,026.75 = 7,026.75/x
  3. Step 3: Cross multiply
    2,878.03x = 7,026.75 × 7,026.75
  4. Step 4: Simplify right side
    2,878.03x = 49,375,215.56
  5. Step 5: Solve for x
    x = 49,375,215.56/2,878.03
  6. Step 6: Final answer
    x = 17,155.90

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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.