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Finding the Third Proportional to 3,664.62 and 7,146.95

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Solution

The third proportional to 3,664.62 and 7,146.95 is: 13,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.62 : 7,146.95 = 7,146.95 : x
  2. Step 2: Convert to fraction form
    3,664.62/7,146.95 = 7,146.95/x
  3. Step 3: Cross multiply
    3,664.62x = 7,146.95 × 7,146.95
  4. Step 4: Simplify right side
    3,664.62x = 51,078,883.14
  5. Step 5: Solve for x
    x = 51,078,883.14/3,664.62
  6. Step 6: Final answer
    x = 13,938.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.