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Finding the Third Proportional to 10,003 and 14,408.50

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Solution

The third proportional to 10,003 and 14,408.50 is: 20,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003 : 14,408.50 = 14,408.50 : x
  2. Step 2: Convert to fraction form
    10,003/14,408.50 = 14,408.50/x
  3. Step 3: Cross multiply
    10,003x = 14,408.50 × 14,408.50
  4. Step 4: Simplify right side
    10,003x = 207,604,872.25
  5. Step 5: Solve for x
    x = 207,604,872.25/10,003
  6. Step 6: Final answer
    x = 20,754.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.