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Finding the Third Proportional to 4,031 and 8,503

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Solution

The third proportional to 4,031 and 8,503 is: 17,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031 : 8,503 = 8,503 : x
  2. Step 2: Convert to fraction form
    4,031/8,503 = 8,503/x
  3. Step 3: Cross multiply
    4,031x = 8,503 × 8,503
  4. Step 4: Simplify right side
    4,031x = 72,301,009
  5. Step 5: Solve for x
    x = 72,301,009/4,031
  6. Step 6: Final answer
    x = 17,936.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.