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Finding the Third Proportional to 10,640.11 and 23,193.84

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Solution

The third proportional to 10,640.11 and 23,193.84 is: 50,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.11 : 23,193.84 = 23,193.84 : x
  2. Step 2: Convert to fraction form
    10,640.11/23,193.84 = 23,193.84/x
  3. Step 3: Cross multiply
    10,640.11x = 23,193.84 × 23,193.84
  4. Step 4: Simplify right side
    10,640.11x = 537,954,387.90
  5. Step 5: Solve for x
    x = 537,954,387.90/10,640.11
  6. Step 6: Final answer
    x = 50,559.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.