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Finding the Third Proportional to 6,384 and 7,310

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Solution

The third proportional to 6,384 and 7,310 is: 8,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 7,310 = 7,310 : x
  2. Step 2: Convert to fraction form
    6,384/7,310 = 7,310/x
  3. Step 3: Cross multiply
    6,384x = 7,310 × 7,310
  4. Step 4: Simplify right side
    6,384x = 53,436,100
  5. Step 5: Solve for x
    x = 53,436,100/6,384
  6. Step 6: Final answer
    x = 8,370.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.