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Finding the Third Proportional to 11,534.27 and 18,069.96

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Solution

The third proportional to 11,534.27 and 18,069.96 is: 28,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.27 : 18,069.96 = 18,069.96 : x
  2. Step 2: Convert to fraction form
    11,534.27/18,069.96 = 18,069.96/x
  3. Step 3: Cross multiply
    11,534.27x = 18,069.96 × 18,069.96
  4. Step 4: Simplify right side
    11,534.27x = 326,523,488.28
  5. Step 5: Solve for x
    x = 326,523,488.28/11,534.27
  6. Step 6: Final answer
    x = 28,308.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.