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Finding the Third Proportional to 2,824.03 and 4,134.38

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Solution

The third proportional to 2,824.03 and 4,134.38 is: 6,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.03 : 4,134.38 = 4,134.38 : x
  2. Step 2: Convert to fraction form
    2,824.03/4,134.38 = 4,134.38/x
  3. Step 3: Cross multiply
    2,824.03x = 4,134.38 × 4,134.38
  4. Step 4: Simplify right side
    2,824.03x = 17,093,056.64
  5. Step 5: Solve for x
    x = 17,093,056.64/2,824.03
  6. Step 6: Final answer
    x = 6,052.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.