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Finding the Third Proportional to 10,172.25 and 13,500

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Solution

The third proportional to 10,172.25 and 13,500 is: 17,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.25 : 13,500 = 13,500 : x
  2. Step 2: Convert to fraction form
    10,172.25/13,500 = 13,500/x
  3. Step 3: Cross multiply
    10,172.25x = 13,500 × 13,500
  4. Step 4: Simplify right side
    10,172.25x = 182,250,000
  5. Step 5: Solve for x
    x = 182,250,000/10,172.25
  6. Step 6: Final answer
    x = 17,916.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.