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Finding the Third Proportional to 811 and 1,735

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Solution

The third proportional to 811 and 1,735 is: 3,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    811 : 1,735 = 1,735 : x
  2. Step 2: Convert to fraction form
    811/1,735 = 1,735/x
  3. Step 3: Cross multiply
    811x = 1,735 × 1,735
  4. Step 4: Simplify right side
    811x = 3,010,225
  5. Step 5: Solve for x
    x = 3,010,225/811
  6. Step 6: Final answer
    x = 3,711.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.