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Finding the Third Proportional to 10,126.27 and 18,054.14

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Solution

The third proportional to 10,126.27 and 18,054.14 is: 32,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.27 : 18,054.14 = 18,054.14 : x
  2. Step 2: Convert to fraction form
    10,126.27/18,054.14 = 18,054.14/x
  3. Step 3: Cross multiply
    10,126.27x = 18,054.14 × 18,054.14
  4. Step 4: Simplify right side
    10,126.27x = 325,951,993.71
  5. Step 5: Solve for x
    x = 325,951,993.71/10,126.27
  6. Step 6: Final answer
    x = 32,188.77

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.