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Finding the Third Proportional to 3,837.30 and 5,732.26

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Solution

The third proportional to 3,837.30 and 5,732.26 is: 8,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.30 : 5,732.26 = 5,732.26 : x
  2. Step 2: Convert to fraction form
    3,837.30/5,732.26 = 5,732.26/x
  3. Step 3: Cross multiply
    3,837.30x = 5,732.26 × 5,732.26
  4. Step 4: Simplify right side
    3,837.30x = 32,858,824.41
  5. Step 5: Solve for x
    x = 32,858,824.41/3,837.30
  6. Step 6: Final answer
    x = 8,563.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.