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Finding the Third Proportional to 1,735.17 and 3,815.23

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Solution

The third proportional to 1,735.17 and 3,815.23 is: 8,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.17 : 3,815.23 = 3,815.23 : x
  2. Step 2: Convert to fraction form
    1,735.17/3,815.23 = 3,815.23/x
  3. Step 3: Cross multiply
    1,735.17x = 3,815.23 × 3,815.23
  4. Step 4: Simplify right side
    1,735.17x = 14,555,953.72
  5. Step 5: Solve for x
    x = 14,555,953.72/1,735.17
  6. Step 6: Final answer
    x = 8,388.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.