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Finding the Third Proportional to 3,407 and 4,546

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Solution

The third proportional to 3,407 and 4,546 is: 6,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407 : 4,546 = 4,546 : x
  2. Step 2: Convert to fraction form
    3,407/4,546 = 4,546/x
  3. Step 3: Cross multiply
    3,407x = 4,546 × 4,546
  4. Step 4: Simplify right side
    3,407x = 20,666,116
  5. Step 5: Solve for x
    x = 20,666,116/3,407
  6. Step 6: Final answer
    x = 6,065.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.