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Finding the Third Proportional to 4,046.06 and 5,466.56

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Solution

The third proportional to 4,046.06 and 5,466.56 is: 7,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.06 : 5,466.56 = 5,466.56 : x
  2. Step 2: Convert to fraction form
    4,046.06/5,466.56 = 5,466.56/x
  3. Step 3: Cross multiply
    4,046.06x = 5,466.56 × 5,466.56
  4. Step 4: Simplify right side
    4,046.06x = 29,883,305.57
  5. Step 5: Solve for x
    x = 29,883,305.57/4,046.06
  6. Step 6: Final answer
    x = 7,385.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.