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Finding the Third Proportional to 11,104.17 and 23,734.69

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Solution

The third proportional to 11,104.17 and 23,734.69 is: 50,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,104.17 : 23,734.69 = 23,734.69 : x
  2. Step 2: Convert to fraction form
    11,104.17/23,734.69 = 23,734.69/x
  3. Step 3: Cross multiply
    11,104.17x = 23,734.69 × 23,734.69
  4. Step 4: Simplify right side
    11,104.17x = 563,335,390.72
  5. Step 5: Solve for x
    x = 563,335,390.72/11,104.17
  6. Step 6: Final answer
    x = 50,731.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.