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Finding the Third Proportional to 11,127.38 and 16,971.75

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Solution

The third proportional to 11,127.38 and 16,971.75 is: 25,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127.38 : 16,971.75 = 16,971.75 : x
  2. Step 2: Convert to fraction form
    11,127.38/16,971.75 = 16,971.75/x
  3. Step 3: Cross multiply
    11,127.38x = 16,971.75 × 16,971.75
  4. Step 4: Simplify right side
    11,127.38x = 288,040,298.06
  5. Step 5: Solve for x
    x = 288,040,298.06/11,127.38
  6. Step 6: Final answer
    x = 25,885.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.