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Finding the Third Proportional to 27,264.38 and 58,825.50

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Solution

The third proportional to 27,264.38 and 58,825.50 is: 126,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264.38 : 58,825.50 = 58,825.50 : x
  2. Step 2: Convert to fraction form
    27,264.38/58,825.50 = 58,825.50/x
  3. Step 3: Cross multiply
    27,264.38x = 58,825.50 × 58,825.50
  4. Step 4: Simplify right side
    27,264.38x = 3,460,439,450.25
  5. Step 5: Solve for x
    x = 3,460,439,450.25/27,264.38
  6. Step 6: Final answer
    x = 126,921.65

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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.