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Finding the Third Proportional to 9,512.44 and 13,008.09

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Solution

The third proportional to 9,512.44 and 13,008.09 is: 17,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.44 : 13,008.09 = 13,008.09 : x
  2. Step 2: Convert to fraction form
    9,512.44/13,008.09 = 13,008.09/x
  3. Step 3: Cross multiply
    9,512.44x = 13,008.09 × 13,008.09
  4. Step 4: Simplify right side
    9,512.44x = 169,210,503.01
  5. Step 5: Solve for x
    x = 169,210,503.01/9,512.44
  6. Step 6: Final answer
    x = 17,788.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.