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Finding the Third Proportional to 23,906.50 and 36,867.75

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Solution

The third proportional to 23,906.50 and 36,867.75 is: 56,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.50 : 36,867.75 = 36,867.75 : x
  2. Step 2: Convert to fraction form
    23,906.50/36,867.75 = 36,867.75/x
  3. Step 3: Cross multiply
    23,906.50x = 36,867.75 × 36,867.75
  4. Step 4: Simplify right side
    23,906.50x = 1,359,230,990.06
  5. Step 5: Solve for x
    x = 1,359,230,990.06/23,906.50
  6. Step 6: Final answer
    x = 56,856.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.