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Finding the Third Proportional to 2,327.91 and 5,453.16

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Solution

The third proportional to 2,327.91 and 5,453.16 is: 12,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.91 : 5,453.16 = 5,453.16 : x
  2. Step 2: Convert to fraction form
    2,327.91/5,453.16 = 5,453.16/x
  3. Step 3: Cross multiply
    2,327.91x = 5,453.16 × 5,453.16
  4. Step 4: Simplify right side
    2,327.91x = 29,736,913.09
  5. Step 5: Solve for x
    x = 29,736,913.09/2,327.91
  6. Step 6: Final answer
    x = 12,774.10

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.