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Finding the Third Proportional to 6,435 and 7,380

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Solution

The third proportional to 6,435 and 7,380 is: 8,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435 : 7,380 = 7,380 : x
  2. Step 2: Convert to fraction form
    6,435/7,380 = 7,380/x
  3. Step 3: Cross multiply
    6,435x = 7,380 × 7,380
  4. Step 4: Simplify right side
    6,435x = 54,464,400
  5. Step 5: Solve for x
    x = 54,464,400/6,435
  6. Step 6: Final answer
    x = 8,463.78

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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.