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Finding the Third Proportional to 11,176.31 and 23,271.47

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Solution

The third proportional to 11,176.31 and 23,271.47 is: 48,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.31 : 23,271.47 = 23,271.47 : x
  2. Step 2: Convert to fraction form
    11,176.31/23,271.47 = 23,271.47/x
  3. Step 3: Cross multiply
    11,176.31x = 23,271.47 × 23,271.47
  4. Step 4: Simplify right side
    11,176.31x = 541,561,257.78
  5. Step 5: Solve for x
    x = 541,561,257.78/11,176.31
  6. Step 6: Final answer
    x = 48,456.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.