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Finding the Third Proportional to 29,546.25 and 43,855.50

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Solution

The third proportional to 29,546.25 and 43,855.50 is: 65,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.25 : 43,855.50 = 43,855.50 : x
  2. Step 2: Convert to fraction form
    29,546.25/43,855.50 = 43,855.50/x
  3. Step 3: Cross multiply
    29,546.25x = 43,855.50 × 43,855.50
  4. Step 4: Simplify right side
    29,546.25x = 1,923,304,880.25
  5. Step 5: Solve for x
    x = 1,923,304,880.25/29,546.25
  6. Step 6: Final answer
    x = 65,094.72

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