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Finding the Third Proportional to 23,794.59 and 51,177.66

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Solution

The third proportional to 23,794.59 and 51,177.66 is: 110,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.59 : 51,177.66 = 51,177.66 : x
  2. Step 2: Convert to fraction form
    23,794.59/51,177.66 = 51,177.66/x
  3. Step 3: Cross multiply
    23,794.59x = 51,177.66 × 51,177.66
  4. Step 4: Simplify right side
    23,794.59x = 2,619,152,499.24
  5. Step 5: Solve for x
    x = 2,619,152,499.24/23,794.59
  6. Step 6: Final answer
    x = 110,073.43

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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.