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Finding the Third Proportional to 3,052.13 and 4,841.44

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Solution

The third proportional to 3,052.13 and 4,841.44 is: 7,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.13 : 4,841.44 = 4,841.44 : x
  2. Step 2: Convert to fraction form
    3,052.13/4,841.44 = 4,841.44/x
  3. Step 3: Cross multiply
    3,052.13x = 4,841.44 × 4,841.44
  4. Step 4: Simplify right side
    3,052.13x = 23,439,517.07
  5. Step 5: Solve for x
    x = 23,439,517.07/3,052.13
  6. Step 6: Final answer
    x = 7,679.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.