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Finding the Third Proportional to 3,477.25 and 5,392.25

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Solution

The third proportional to 3,477.25 and 5,392.25 is: 8,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.25 : 5,392.25 = 5,392.25 : x
  2. Step 2: Convert to fraction form
    3,477.25/5,392.25 = 5,392.25/x
  3. Step 3: Cross multiply
    3,477.25x = 5,392.25 × 5,392.25
  4. Step 4: Simplify right side
    3,477.25x = 29,076,360.06
  5. Step 5: Solve for x
    x = 29,076,360.06/3,477.25
  6. Step 6: Final answer
    x = 8,361.88

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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.