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Finding the Third Proportional to 853.69 and 1,864.88

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Solution

The third proportional to 853.69 and 1,864.88 is: 4,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.69 : 1,864.88 = 1,864.88 : x
  2. Step 2: Convert to fraction form
    853.69/1,864.88 = 1,864.88/x
  3. Step 3: Cross multiply
    853.69x = 1,864.88 × 1,864.88
  4. Step 4: Simplify right side
    853.69x = 3,477,758.77
  5. Step 5: Solve for x
    x = 3,477,758.77/853.69
  6. Step 6: Final answer
    x = 4,073.81

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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.