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Finding the Third Proportional to 23,619.19 and 51,845.81

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Solution

The third proportional to 23,619.19 and 51,845.81 is: 113,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,619.19 : 51,845.81 = 51,845.81 : x
  2. Step 2: Convert to fraction form
    23,619.19/51,845.81 = 51,845.81/x
  3. Step 3: Cross multiply
    23,619.19x = 51,845.81 × 51,845.81
  4. Step 4: Simplify right side
    23,619.19x = 2,687,988,273.79
  5. Step 5: Solve for x
    x = 2,687,988,273.79/23,619.19
  6. Step 6: Final answer
    x = 113,805.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.