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Finding the Third Proportional to 4,318 and 6,641

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Solution

The third proportional to 4,318 and 6,641 is: 10,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318 : 6,641 = 6,641 : x
  2. Step 2: Convert to fraction form
    4,318/6,641 = 6,641/x
  3. Step 3: Cross multiply
    4,318x = 6,641 × 6,641
  4. Step 4: Simplify right side
    4,318x = 44,102,881
  5. Step 5: Solve for x
    x = 44,102,881/4,318
  6. Step 6: Final answer
    x = 10,213.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.