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Finding the Third Proportional to 11,601.14 and 18,094.64

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Solution

The third proportional to 11,601.14 and 18,094.64 is: 28,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.14 : 18,094.64 = 18,094.64 : x
  2. Step 2: Convert to fraction form
    11,601.14/18,094.64 = 18,094.64/x
  3. Step 3: Cross multiply
    11,601.14x = 18,094.64 × 18,094.64
  4. Step 4: Simplify right side
    11,601.14x = 327,416,019.35
  5. Step 5: Solve for x
    x = 327,416,019.35/11,601.14
  6. Step 6: Final answer
    x = 28,222.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.