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Finding the Third Proportional to 14,544 and 31,408.50

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Solution

The third proportional to 14,544 and 31,408.50 is: 67,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544 : 31,408.50 = 31,408.50 : x
  2. Step 2: Convert to fraction form
    14,544/31,408.50 = 31,408.50/x
  3. Step 3: Cross multiply
    14,544x = 31,408.50 × 31,408.50
  4. Step 4: Simplify right side
    14,544x = 986,493,872.25
  5. Step 5: Solve for x
    x = 986,493,872.25/14,544
  6. Step 6: Final answer
    x = 67,828.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.