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Finding the Third Proportional to 1,693 and 3,431

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Solution

The third proportional to 1,693 and 3,431 is: 6,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693 : 3,431 = 3,431 : x
  2. Step 2: Convert to fraction form
    1,693/3,431 = 3,431/x
  3. Step 3: Cross multiply
    1,693x = 3,431 × 3,431
  4. Step 4: Simplify right side
    1,693x = 11,771,761
  5. Step 5: Solve for x
    x = 11,771,761/1,693
  6. Step 6: Final answer
    x = 6,953.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.