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Finding the Third Proportional to 8,089 and 11,689.50

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Solution

The third proportional to 8,089 and 11,689.50 is: 16,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089 : 11,689.50 = 11,689.50 : x
  2. Step 2: Convert to fraction form
    8,089/11,689.50 = 11,689.50/x
  3. Step 3: Cross multiply
    8,089x = 11,689.50 × 11,689.50
  4. Step 4: Simplify right side
    8,089x = 136,644,410.25
  5. Step 5: Solve for x
    x = 136,644,410.25/8,089
  6. Step 6: Final answer
    x = 16,892.62

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.