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Finding the Third Proportional to 23,296.50 and 36,906.75

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Solution

The third proportional to 23,296.50 and 36,906.75 is: 58,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.50 : 36,906.75 = 36,906.75 : x
  2. Step 2: Convert to fraction form
    23,296.50/36,906.75 = 36,906.75/x
  3. Step 3: Cross multiply
    23,296.50x = 36,906.75 × 36,906.75
  4. Step 4: Simplify right side
    23,296.50x = 1,362,108,195.56
  5. Step 5: Solve for x
    x = 1,362,108,195.56/23,296.50
  6. Step 6: Final answer
    x = 58,468.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.