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Finding the Third Proportional to 4,286 and 7,732

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Solution

The third proportional to 4,286 and 7,732 is: 13,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286 : 7,732 = 7,732 : x
  2. Step 2: Convert to fraction form
    4,286/7,732 = 7,732/x
  3. Step 3: Cross multiply
    4,286x = 7,732 × 7,732
  4. Step 4: Simplify right side
    4,286x = 59,783,824
  5. Step 5: Solve for x
    x = 59,783,824/4,286
  6. Step 6: Final answer
    x = 13,948.63

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.