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Finding the Third Proportional to 852.64 and 1,808.50

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Solution

The third proportional to 852.64 and 1,808.50 is: 3,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.64 : 1,808.50 = 1,808.50 : x
  2. Step 2: Convert to fraction form
    852.64/1,808.50 = 1,808.50/x
  3. Step 3: Cross multiply
    852.64x = 1,808.50 × 1,808.50
  4. Step 4: Simplify right side
    852.64x = 3,270,668.72
  5. Step 5: Solve for x
    x = 3,270,668.72/852.64
  6. Step 6: Final answer
    x = 3,835.95

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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.