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Finding the Third Proportional to 3,407 and 6,562

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Solution

The third proportional to 3,407 and 6,562 is: 12,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407 : 6,562 = 6,562 : x
  2. Step 2: Convert to fraction form
    3,407/6,562 = 6,562/x
  3. Step 3: Cross multiply
    3,407x = 6,562 × 6,562
  4. Step 4: Simplify right side
    3,407x = 43,059,844
  5. Step 5: Solve for x
    x = 43,059,844/3,407
  6. Step 6: Final answer
    x = 12,638.64

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.