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Finding the Third Proportional to 12,117.09 and 18,716.06

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Solution

The third proportional to 12,117.09 and 18,716.06 is: 28,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.09 : 18,716.06 = 18,716.06 : x
  2. Step 2: Convert to fraction form
    12,117.09/18,716.06 = 18,716.06/x
  3. Step 3: Cross multiply
    12,117.09x = 18,716.06 × 18,716.06
  4. Step 4: Simplify right side
    12,117.09x = 350,290,995.50
  5. Step 5: Solve for x
    x = 350,290,995.50/12,117.09
  6. Step 6: Final answer
    x = 28,908.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.