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Finding the Third Proportional to 1,654 and 3,976

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Solution

The third proportional to 1,654 and 3,976 is: 9,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654 : 3,976 = 3,976 : x
  2. Step 2: Convert to fraction form
    1,654/3,976 = 3,976/x
  3. Step 3: Cross multiply
    1,654x = 3,976 × 3,976
  4. Step 4: Simplify right side
    1,654x = 15,808,576
  5. Step 5: Solve for x
    x = 15,808,576/1,654
  6. Step 6: Final answer
    x = 9,557.78

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.