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Finding the Third Proportional to 10,909.69 and 18,106.03

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Solution

The third proportional to 10,909.69 and 18,106.03 is: 30,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 18,106.03 = 18,106.03 : x
  2. Step 2: Convert to fraction form
    10,909.69/18,106.03 = 18,106.03/x
  3. Step 3: Cross multiply
    10,909.69x = 18,106.03 × 18,106.03
  4. Step 4: Simplify right side
    10,909.69x = 327,828,367.63
  5. Step 5: Solve for x
    x = 327,828,367.63/10,909.69
  6. Step 6: Final answer
    x = 30,049.29

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.