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Finding the Third Proportional to 9,512.44 and 14,445.84

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Solution

The third proportional to 9,512.44 and 14,445.84 is: 21,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.44 : 14,445.84 = 14,445.84 : x
  2. Step 2: Convert to fraction form
    9,512.44/14,445.84 = 14,445.84/x
  3. Step 3: Cross multiply
    9,512.44x = 14,445.84 × 14,445.84
  4. Step 4: Simplify right side
    9,512.44x = 208,682,401.65
  5. Step 5: Solve for x
    x = 208,682,401.65/9,512.44
  6. Step 6: Final answer
    x = 21,937.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.