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Finding the Third Proportional to 27,181.75 and 56,228.06

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Solution

The third proportional to 27,181.75 and 56,228.06 is: 116,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.75 : 56,228.06 = 56,228.06 : x
  2. Step 2: Convert to fraction form
    27,181.75/56,228.06 = 56,228.06/x
  3. Step 3: Cross multiply
    27,181.75x = 56,228.06 × 56,228.06
  4. Step 4: Simplify right side
    27,181.75x = 3,161,595,012.50
  5. Step 5: Solve for x
    x = 3,161,595,012.50/27,181.75
  6. Step 6: Final answer
    x = 116,313.15

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.