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Finding the Third Proportional to 6,476 and 7,436

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Solution

The third proportional to 6,476 and 7,436 is: 8,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476 : 7,436 = 7,436 : x
  2. Step 2: Convert to fraction form
    6,476/7,436 = 7,436/x
  3. Step 3: Cross multiply
    6,476x = 7,436 × 7,436
  4. Step 4: Simplify right side
    6,476x = 55,294,096
  5. Step 5: Solve for x
    x = 55,294,096/6,476
  6. Step 6: Final answer
    x = 8,538.31

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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.