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Finding the Third Proportional to 23,743.76 and 33,813.07

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Solution

The third proportional to 23,743.76 and 33,813.07 is: 48,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.76 : 33,813.07 = 33,813.07 : x
  2. Step 2: Convert to fraction form
    23,743.76/33,813.07 = 33,813.07/x
  3. Step 3: Cross multiply
    23,743.76x = 33,813.07 × 33,813.07
  4. Step 4: Simplify right side
    23,743.76x = 1,143,323,723.96
  5. Step 5: Solve for x
    x = 1,143,323,723.96/23,743.76
  6. Step 6: Final answer
    x = 48,152.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.