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Finding the Third Proportional to 3,348.84 and 5,219.75

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Solution

The third proportional to 3,348.84 and 5,219.75 is: 8,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.84 : 5,219.75 = 5,219.75 : x
  2. Step 2: Convert to fraction form
    3,348.84/5,219.75 = 5,219.75/x
  3. Step 3: Cross multiply
    3,348.84x = 5,219.75 × 5,219.75
  4. Step 4: Simplify right side
    3,348.84x = 27,245,830.84
  5. Step 5: Solve for x
    x = 27,245,830.84/3,348.84
  6. Step 6: Final answer
    x = 8,135.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.