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Finding the Third Proportional to 27,411.75 and 59,195.25

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Solution

The third proportional to 27,411.75 and 59,195.25 is: 127,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.75 : 59,195.25 = 59,195.25 : x
  2. Step 2: Convert to fraction form
    27,411.75/59,195.25 = 59,195.25/x
  3. Step 3: Cross multiply
    27,411.75x = 59,195.25 × 59,195.25
  4. Step 4: Simplify right side
    27,411.75x = 3,504,077,622.56
  5. Step 5: Solve for x
    x = 3,504,077,622.56/27,411.75
  6. Step 6: Final answer
    x = 127,831.23

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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.