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Finding the Third Proportional to 5,286 and 7,436

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Solution

The third proportional to 5,286 and 7,436 is: 10,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286 : 7,436 = 7,436 : x
  2. Step 2: Convert to fraction form
    5,286/7,436 = 7,436/x
  3. Step 3: Cross multiply
    5,286x = 7,436 × 7,436
  4. Step 4: Simplify right side
    5,286x = 55,294,096
  5. Step 5: Solve for x
    x = 55,294,096/5,286
  6. Step 6: Final answer
    x = 10,460.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.