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Finding the Third Proportional to 29,938.50 and 44,325

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Solution

The third proportional to 29,938.50 and 44,325 is: 65,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.50 : 44,325 = 44,325 : x
  2. Step 2: Convert to fraction form
    29,938.50/44,325 = 44,325/x
  3. Step 3: Cross multiply
    29,938.50x = 44,325 × 44,325
  4. Step 4: Simplify right side
    29,938.50x = 1,964,705,625
  5. Step 5: Solve for x
    x = 1,964,705,625/29,938.50
  6. Step 6: Final answer
    x = 65,624.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.