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Finding the Third Proportional to 5,198.41 and 7,612.45

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Solution

The third proportional to 5,198.41 and 7,612.45 is: 11,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.41 : 7,612.45 = 7,612.45 : x
  2. Step 2: Convert to fraction form
    5,198.41/7,612.45 = 7,612.45/x
  3. Step 3: Cross multiply
    5,198.41x = 7,612.45 × 7,612.45
  4. Step 4: Simplify right side
    5,198.41x = 57,949,442.58
  5. Step 5: Solve for x
    x = 57,949,442.58/5,198.41
  6. Step 6: Final answer
    x = 11,147.52

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Why These Related Problems?

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