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Finding the Third Proportional to 3,466.75 and 7,381.75

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Solution

The third proportional to 3,466.75 and 7,381.75 is: 15,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.75 : 7,381.75 = 7,381.75 : x
  2. Step 2: Convert to fraction form
    3,466.75/7,381.75 = 7,381.75/x
  3. Step 3: Cross multiply
    3,466.75x = 7,381.75 × 7,381.75
  4. Step 4: Simplify right side
    3,466.75x = 54,490,233.06
  5. Step 5: Solve for x
    x = 54,490,233.06/3,466.75
  6. Step 6: Final answer
    x = 15,717.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.