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Finding the Third Proportional to 11,512.13 and 19,981.69

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Solution

The third proportional to 11,512.13 and 19,981.69 is: 34,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.13 : 19,981.69 = 19,981.69 : x
  2. Step 2: Convert to fraction form
    11,512.13/19,981.69 = 19,981.69/x
  3. Step 3: Cross multiply
    11,512.13x = 19,981.69 × 19,981.69
  4. Step 4: Simplify right side
    11,512.13x = 399,267,835.35
  5. Step 5: Solve for x
    x = 399,267,835.35/11,512.13
  6. Step 6: Final answer
    x = 34,682.37

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.