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Finding the Third Proportional to 8,577.14 and 18,054.14

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Solution

The third proportional to 8,577.14 and 18,054.14 is: 38,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.14 : 18,054.14 = 18,054.14 : x
  2. Step 2: Convert to fraction form
    8,577.14/18,054.14 = 18,054.14/x
  3. Step 3: Cross multiply
    8,577.14x = 18,054.14 × 18,054.14
  4. Step 4: Simplify right side
    8,577.14x = 325,951,993.71
  5. Step 5: Solve for x
    x = 325,951,993.71/8,577.14
  6. Step 6: Final answer
    x = 38,002.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.