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Finding the Third Proportional to 3,446.44 and 5,549.06

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Solution

The third proportional to 3,446.44 and 5,549.06 is: 8,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.44 : 5,549.06 = 5,549.06 : x
  2. Step 2: Convert to fraction form
    3,446.44/5,549.06 = 5,549.06/x
  3. Step 3: Cross multiply
    3,446.44x = 5,549.06 × 5,549.06
  4. Step 4: Simplify right side
    3,446.44x = 30,792,094.63
  5. Step 5: Solve for x
    x = 30,792,094.63/3,446.44
  6. Step 6: Final answer
    x = 8,934.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.