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Finding the Third Proportional to 6,704 and 12,048

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Solution

The third proportional to 6,704 and 12,048 is: 21,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704 : 12,048 = 12,048 : x
  2. Step 2: Convert to fraction form
    6,704/12,048 = 12,048/x
  3. Step 3: Cross multiply
    6,704x = 12,048 × 12,048
  4. Step 4: Simplify right side
    6,704x = 145,154,304
  5. Step 5: Solve for x
    x = 145,154,304/6,704
  6. Step 6: Final answer
    x = 21,651.89

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.