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Finding the Third Proportional to 1,727 and 1,835

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Solution

The third proportional to 1,727 and 1,835 is: 1,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727 : 1,835 = 1,835 : x
  2. Step 2: Convert to fraction form
    1,727/1,835 = 1,835/x
  3. Step 3: Cross multiply
    1,727x = 1,835 × 1,835
  4. Step 4: Simplify right side
    1,727x = 3,367,225
  5. Step 5: Solve for x
    x = 3,367,225/1,727
  6. Step 6: Final answer
    x = 1,949.75

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.