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Finding the Third Proportional to 3,402 and 3,786

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Solution

The third proportional to 3,402 and 3,786 is: 4,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 3,786 = 3,786 : x
  2. Step 2: Convert to fraction form
    3,402/3,786 = 3,786/x
  3. Step 3: Cross multiply
    3,402x = 3,786 × 3,786
  4. Step 4: Simplify right side
    3,402x = 14,333,796
  5. Step 5: Solve for x
    x = 14,333,796/3,402
  6. Step 6: Final answer
    x = 4,213.34

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.