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Finding the Third Proportional to 1,706 and 2,021

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Solution

The third proportional to 1,706 and 2,021 is: 2,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706 : 2,021 = 2,021 : x
  2. Step 2: Convert to fraction form
    1,706/2,021 = 2,021/x
  3. Step 3: Cross multiply
    1,706x = 2,021 × 2,021
  4. Step 4: Simplify right side
    1,706x = 4,084,441
  5. Step 5: Solve for x
    x = 4,084,441/1,706
  6. Step 6: Final answer
    x = 2,394.16

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.