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Finding the Third Proportional to 3,054.82 and 4,596.12

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Solution

The third proportional to 3,054.82 and 4,596.12 is: 6,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.82 : 4,596.12 = 4,596.12 : x
  2. Step 2: Convert to fraction form
    3,054.82/4,596.12 = 4,596.12/x
  3. Step 3: Cross multiply
    3,054.82x = 4,596.12 × 4,596.12
  4. Step 4: Simplify right side
    3,054.82x = 21,124,293.20
  5. Step 5: Solve for x
    x = 21,124,293.20/3,054.82
  6. Step 6: Final answer
    x = 6,915.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.