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Finding the Third Proportional to 7,328 and 8,048

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Solution

The third proportional to 7,328 and 8,048 is: 8,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328 : 8,048 = 8,048 : x
  2. Step 2: Convert to fraction form
    7,328/8,048 = 8,048/x
  3. Step 3: Cross multiply
    7,328x = 8,048 × 8,048
  4. Step 4: Simplify right side
    7,328x = 64,770,304
  5. Step 5: Solve for x
    x = 64,770,304/7,328
  6. Step 6: Final answer
    x = 8,838.74

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.