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Finding the Third Proportional to 23,945.63 and 51,494.63

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Solution

The third proportional to 23,945.63 and 51,494.63 is: 110,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,945.63 : 51,494.63 = 51,494.63 : x
  2. Step 2: Convert to fraction form
    23,945.63/51,494.63 = 51,494.63/x
  3. Step 3: Cross multiply
    23,945.63x = 51,494.63 × 51,494.63
  4. Step 4: Simplify right side
    23,945.63x = 2,651,696,403.89
  5. Step 5: Solve for x
    x = 2,651,696,403.89/23,945.63
  6. Step 6: Final answer
    x = 110,738.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.