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Finding the Third Proportional to 3,851.46 and 6,048.42

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Solution

The third proportional to 3,851.46 and 6,048.42 is: 9,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.46 : 6,048.42 = 6,048.42 : x
  2. Step 2: Convert to fraction form
    3,851.46/6,048.42 = 6,048.42/x
  3. Step 3: Cross multiply
    3,851.46x = 6,048.42 × 6,048.42
  4. Step 4: Simplify right side
    3,851.46x = 36,583,407.18
  5. Step 5: Solve for x
    x = 36,583,407.18/3,851.46
  6. Step 6: Final answer
    x = 9,498.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.