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Finding the Third Proportional to 11,323.50 and 24,831

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Solution

The third proportional to 11,323.50 and 24,831 is: 54,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.50 : 24,831 = 24,831 : x
  2. Step 2: Convert to fraction form
    11,323.50/24,831 = 24,831/x
  3. Step 3: Cross multiply
    11,323.50x = 24,831 × 24,831
  4. Step 4: Simplify right side
    11,323.50x = 616,578,561
  5. Step 5: Solve for x
    x = 616,578,561/11,323.50
  6. Step 6: Final answer
    x = 54,451.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.