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Finding the Third Proportional to 8,364 and 10,878

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Solution

The third proportional to 8,364 and 10,878 is: 14,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364 : 10,878 = 10,878 : x
  2. Step 2: Convert to fraction form
    8,364/10,878 = 10,878/x
  3. Step 3: Cross multiply
    8,364x = 10,878 × 10,878
  4. Step 4: Simplify right side
    8,364x = 118,330,884
  5. Step 5: Solve for x
    x = 118,330,884/8,364
  6. Step 6: Final answer
    x = 14,147.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.