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Finding the Third Proportional to 11,007.14 and 18,185.13

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Solution

The third proportional to 11,007.14 and 18,185.13 is: 30,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.14 : 18,185.13 = 18,185.13 : x
  2. Step 2: Convert to fraction form
    11,007.14/18,185.13 = 18,185.13/x
  3. Step 3: Cross multiply
    11,007.14x = 18,185.13 × 18,185.13
  4. Step 4: Simplify right side
    11,007.14x = 330,699,055.41
  5. Step 5: Solve for x
    x = 330,699,055.41/11,007.14
  6. Step 6: Final answer
    x = 30,044.05

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.