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Finding the Third Proportional to 3,243 and 5,031

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Solution

The third proportional to 3,243 and 5,031 is: 7,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243 : 5,031 = 5,031 : x
  2. Step 2: Convert to fraction form
    3,243/5,031 = 5,031/x
  3. Step 3: Cross multiply
    3,243x = 5,031 × 5,031
  4. Step 4: Simplify right side
    3,243x = 25,310,961
  5. Step 5: Solve for x
    x = 25,310,961/3,243
  6. Step 6: Final answer
    x = 7,804.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.