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Finding the Third Proportional to 1,472.41 and 3,204.91

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Solution

The third proportional to 1,472.41 and 3,204.91 is: 6,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.41 : 3,204.91 = 3,204.91 : x
  2. Step 2: Convert to fraction form
    1,472.41/3,204.91 = 3,204.91/x
  3. Step 3: Cross multiply
    1,472.41x = 3,204.91 × 3,204.91
  4. Step 4: Simplify right side
    1,472.41x = 10,271,474.15
  5. Step 5: Solve for x
    x = 10,271,474.15/1,472.41
  6. Step 6: Final answer
    x = 6,975.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.