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Finding the Third Proportional to 11,098.13 and 23,608.69

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Solution

The third proportional to 11,098.13 and 23,608.69 is: 50,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.13 : 23,608.69 = 23,608.69 : x
  2. Step 2: Convert to fraction form
    11,098.13/23,608.69 = 23,608.69/x
  3. Step 3: Cross multiply
    11,098.13x = 23,608.69 × 23,608.69
  4. Step 4: Simplify right side
    11,098.13x = 557,370,125.47
  5. Step 5: Solve for x
    x = 557,370,125.47/11,098.13
  6. Step 6: Final answer
    x = 50,222.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.