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Finding the Third Proportional to 23,410.88 and 51,193.69

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Solution

The third proportional to 23,410.88 and 51,193.69 is: 111,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.88 : 51,193.69 = 51,193.69 : x
  2. Step 2: Convert to fraction form
    23,410.88/51,193.69 = 51,193.69/x
  3. Step 3: Cross multiply
    23,410.88x = 51,193.69 × 51,193.69
  4. Step 4: Simplify right side
    23,410.88x = 2,620,793,639.85
  5. Step 5: Solve for x
    x = 2,620,793,639.85/23,410.88
  6. Step 6: Final answer
    x = 111,947.70

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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.