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Finding the Third Proportional to 11,576.67 and 23,973.47

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Solution

The third proportional to 11,576.67 and 23,973.47 is: 49,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.67 : 23,973.47 = 23,973.47 : x
  2. Step 2: Convert to fraction form
    11,576.67/23,973.47 = 23,973.47/x
  3. Step 3: Cross multiply
    11,576.67x = 23,973.47 × 23,973.47
  4. Step 4: Simplify right side
    11,576.67x = 574,727,203.91
  5. Step 5: Solve for x
    x = 574,727,203.91/11,576.67
  6. Step 6: Final answer
    x = 49,645.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.