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Finding the Third Proportional to 3,640.31 and 5,528.06

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Solution

The third proportional to 3,640.31 and 5,528.06 is: 8,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.31 : 5,528.06 = 5,528.06 : x
  2. Step 2: Convert to fraction form
    3,640.31/5,528.06 = 5,528.06/x
  3. Step 3: Cross multiply
    3,640.31x = 5,528.06 × 5,528.06
  4. Step 4: Simplify right side
    3,640.31x = 30,559,475.00
  5. Step 5: Solve for x
    x = 30,559,475.00/3,640.31
  6. Step 6: Final answer
    x = 8,394.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.