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Finding the Third Proportional to 27,155.25 and 56,906.30

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Solution

The third proportional to 27,155.25 and 56,906.30 is: 119,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155.25 : 56,906.30 = 56,906.30 : x
  2. Step 2: Convert to fraction form
    27,155.25/56,906.30 = 56,906.30/x
  3. Step 3: Cross multiply
    27,155.25x = 56,906.30 × 56,906.30
  4. Step 4: Simplify right side
    27,155.25x = 3,238,326,624.03
  5. Step 5: Solve for x
    x = 3,238,326,624.03/27,155.25
  6. Step 6: Final answer
    x = 119,252.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.