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Finding the Third Proportional to 24,831.75 and 54,305.25

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Solution

The third proportional to 24,831.75 and 54,305.25 is: 118,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831.75 : 54,305.25 = 54,305.25 : x
  2. Step 2: Convert to fraction form
    24,831.75/54,305.25 = 54,305.25/x
  3. Step 3: Cross multiply
    24,831.75x = 54,305.25 × 54,305.25
  4. Step 4: Simplify right side
    24,831.75x = 2,949,060,177.56
  5. Step 5: Solve for x
    x = 2,949,060,177.56/24,831.75
  6. Step 6: Final answer
    x = 118,761.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.