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Finding the Third Proportional to 23,781 and 36,437.25

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Solution

The third proportional to 23,781 and 36,437.25 is: 55,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781 : 36,437.25 = 36,437.25 : x
  2. Step 2: Convert to fraction form
    23,781/36,437.25 = 36,437.25/x
  3. Step 3: Cross multiply
    23,781x = 36,437.25 × 36,437.25
  4. Step 4: Simplify right side
    23,781x = 1,327,673,187.56
  5. Step 5: Solve for x
    x = 1,327,673,187.56/23,781
  6. Step 6: Final answer
    x = 55,829.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.