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Finding the Third Proportional to 10,909.69 and 17,458.03

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Solution

The third proportional to 10,909.69 and 17,458.03 is: 27,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 17,458.03 = 17,458.03 : x
  2. Step 2: Convert to fraction form
    10,909.69/17,458.03 = 17,458.03/x
  3. Step 3: Cross multiply
    10,909.69x = 17,458.03 × 17,458.03
  4. Step 4: Simplify right side
    10,909.69x = 304,782,855.13
  5. Step 5: Solve for x
    x = 304,782,855.13/10,909.69
  6. Step 6: Final answer
    x = 27,936.90

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.