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Finding the Third Proportional to 9,585.21 and 18,054.14

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Solution

The third proportional to 9,585.21 and 18,054.14 is: 34,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.21 : 18,054.14 = 18,054.14 : x
  2. Step 2: Convert to fraction form
    9,585.21/18,054.14 = 18,054.14/x
  3. Step 3: Cross multiply
    9,585.21x = 18,054.14 × 18,054.14
  4. Step 4: Simplify right side
    9,585.21x = 325,951,993.71
  5. Step 5: Solve for x
    x = 325,951,993.71/9,585.21
  6. Step 6: Final answer
    x = 34,005.72

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.