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Finding the Third Proportional to 23,625 and 36,250.50

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Solution

The third proportional to 23,625 and 36,250.50 is: 55,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625 : 36,250.50 = 36,250.50 : x
  2. Step 2: Convert to fraction form
    23,625/36,250.50 = 36,250.50/x
  3. Step 3: Cross multiply
    23,625x = 36,250.50 × 36,250.50
  4. Step 4: Simplify right side
    23,625x = 1,314,098,750.25
  5. Step 5: Solve for x
    x = 1,314,098,750.25/23,625
  6. Step 6: Final answer
    x = 55,623.23

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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.