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Finding the Third Proportional to 4,466.06 and 6,922.31

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Solution

The third proportional to 4,466.06 and 6,922.31 is: 10,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.06 : 6,922.31 = 6,922.31 : x
  2. Step 2: Convert to fraction form
    4,466.06/6,922.31 = 6,922.31/x
  3. Step 3: Cross multiply
    4,466.06x = 6,922.31 × 6,922.31
  4. Step 4: Simplify right side
    4,466.06x = 47,918,410.35
  5. Step 5: Solve for x
    x = 47,918,410.35/4,466.06
  6. Step 6: Final answer
    x = 10,729.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.