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Finding the Third Proportional to 23,781 and 36,964.50

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Solution

The third proportional to 23,781 and 36,964.50 is: 57,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781 : 36,964.50 = 36,964.50 : x
  2. Step 2: Convert to fraction form
    23,781/36,964.50 = 36,964.50/x
  3. Step 3: Cross multiply
    23,781x = 36,964.50 × 36,964.50
  4. Step 4: Simplify right side
    23,781x = 1,366,374,260.25
  5. Step 5: Solve for x
    x = 1,366,374,260.25/23,781
  6. Step 6: Final answer
    x = 57,456.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.