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Finding the Third Proportional to 9,481.09 and 14,610.88

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Solution

The third proportional to 9,481.09 and 14,610.88 is: 22,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.09 : 14,610.88 = 14,610.88 : x
  2. Step 2: Convert to fraction form
    9,481.09/14,610.88 = 14,610.88/x
  3. Step 3: Cross multiply
    9,481.09x = 14,610.88 × 14,610.88
  4. Step 4: Simplify right side
    9,481.09x = 213,477,793.11
  5. Step 5: Solve for x
    x = 213,477,793.11/9,481.09
  6. Step 6: Final answer
    x = 22,516.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.