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Finding the Third Proportional to 5,411.97 and 10,260.11

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Solution

The third proportional to 5,411.97 and 10,260.11 is: 19,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.97 : 10,260.11 = 10,260.11 : x
  2. Step 2: Convert to fraction form
    5,411.97/10,260.11 = 10,260.11/x
  3. Step 3: Cross multiply
    5,411.97x = 10,260.11 × 10,260.11
  4. Step 4: Simplify right side
    5,411.97x = 105,269,764.23
  5. Step 5: Solve for x
    x = 105,269,764.23/5,411.97
  6. Step 6: Final answer
    x = 19,451.28

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.