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Finding the Third Proportional to 24,021.94 and 51,162.38

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Solution

The third proportional to 24,021.94 and 51,162.38 is: 108,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021.94 : 51,162.38 = 51,162.38 : x
  2. Step 2: Convert to fraction form
    24,021.94/51,162.38 = 51,162.38/x
  3. Step 3: Cross multiply
    24,021.94x = 51,162.38 × 51,162.38
  4. Step 4: Simplify right side
    24,021.94x = 2,617,588,615.64
  5. Step 5: Solve for x
    x = 2,617,588,615.64/24,021.94
  6. Step 6: Final answer
    x = 108,966.59

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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.