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Finding the Third Proportional to 29,546.50 and 44,320.50

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Solution

The third proportional to 29,546.50 and 44,320.50 is: 66,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.50 : 44,320.50 = 44,320.50 : x
  2. Step 2: Convert to fraction form
    29,546.50/44,320.50 = 44,320.50/x
  3. Step 3: Cross multiply
    29,546.50x = 44,320.50 × 44,320.50
  4. Step 4: Simplify right side
    29,546.50x = 1,964,306,720.25
  5. Step 5: Solve for x
    x = 1,964,306,720.25/29,546.50
  6. Step 6: Final answer
    x = 66,481.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.