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Finding the Third Proportional to 1,607.69 and 3,412.88

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Solution

The third proportional to 1,607.69 and 3,412.88 is: 7,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.69 : 3,412.88 = 3,412.88 : x
  2. Step 2: Convert to fraction form
    1,607.69/3,412.88 = 3,412.88/x
  3. Step 3: Cross multiply
    1,607.69x = 3,412.88 × 3,412.88
  4. Step 4: Simplify right side
    1,607.69x = 11,647,715.77
  5. Step 5: Solve for x
    x = 11,647,715.77/1,607.69
  6. Step 6: Final answer
    x = 7,245.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.