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Finding the Third Proportional to 3,262 and 5,732

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Solution

The third proportional to 3,262 and 5,732 is: 10,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262 : 5,732 = 5,732 : x
  2. Step 2: Convert to fraction form
    3,262/5,732 = 5,732/x
  3. Step 3: Cross multiply
    3,262x = 5,732 × 5,732
  4. Step 4: Simplify right side
    3,262x = 32,855,824
  5. Step 5: Solve for x
    x = 32,855,824/3,262
  6. Step 6: Final answer
    x = 10,072.29

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.