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Finding the Third Proportional to 27,977.25 and 60,422.75

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Solution

The third proportional to 27,977.25 and 60,422.75 is: 130,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.25 : 60,422.75 = 60,422.75 : x
  2. Step 2: Convert to fraction form
    27,977.25/60,422.75 = 60,422.75/x
  3. Step 3: Cross multiply
    27,977.25x = 60,422.75 × 60,422.75
  4. Step 4: Simplify right side
    27,977.25x = 3,650,908,717.56
  5. Step 5: Solve for x
    x = 3,650,908,717.56/27,977.25
  6. Step 6: Final answer
    x = 130,495.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.