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Finding the Third Proportional to 10,503 and 16,440.75

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Solution

The third proportional to 10,503 and 16,440.75 is: 25,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 16,440.75 = 16,440.75 : x
  2. Step 2: Convert to fraction form
    10,503/16,440.75 = 16,440.75/x
  3. Step 3: Cross multiply
    10,503x = 16,440.75 × 16,440.75
  4. Step 4: Simplify right side
    10,503x = 270,298,260.56
  5. Step 5: Solve for x
    x = 270,298,260.56/10,503
  6. Step 6: Final answer
    x = 25,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.