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Finding the Third Proportional to 3,476.25 and 5,391.56

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Solution

The third proportional to 3,476.25 and 5,391.56 is: 8,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.25 : 5,391.56 = 5,391.56 : x
  2. Step 2: Convert to fraction form
    3,476.25/5,391.56 = 5,391.56/x
  3. Step 3: Cross multiply
    3,476.25x = 5,391.56 × 5,391.56
  4. Step 4: Simplify right side
    3,476.25x = 29,068,946.19
  5. Step 5: Solve for x
    x = 29,068,946.19/3,476.25
  6. Step 6: Final answer
    x = 8,362.16

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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.