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Finding the Third Proportional to 5,160.94 and 11,050.69

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Solution

The third proportional to 5,160.94 and 11,050.69 is: 23,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.94 : 11,050.69 = 11,050.69 : x
  2. Step 2: Convert to fraction form
    5,160.94/11,050.69 = 11,050.69/x
  3. Step 3: Cross multiply
    5,160.94x = 11,050.69 × 11,050.69
  4. Step 4: Simplify right side
    5,160.94x = 122,117,694.22
  5. Step 5: Solve for x
    x = 122,117,694.22/5,160.94
  6. Step 6: Final answer
    x = 23,661.92

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Why These Related Problems?

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