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Finding the Third Proportional to 1,728 and 1,964

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Solution

The third proportional to 1,728 and 1,964 is: 2,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 1,964 = 1,964 : x
  2. Step 2: Convert to fraction form
    1,728/1,964 = 1,964/x
  3. Step 3: Cross multiply
    1,728x = 1,964 × 1,964
  4. Step 4: Simplify right side
    1,728x = 3,857,296
  5. Step 5: Solve for x
    x = 3,857,296/1,728
  6. Step 6: Final answer
    x = 2,232.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.