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Finding the Third Proportional to 23,854.50 and 51,176.81

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Solution

The third proportional to 23,854.50 and 51,176.81 is: 109,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.50 : 51,176.81 = 51,176.81 : x
  2. Step 2: Convert to fraction form
    23,854.50/51,176.81 = 51,176.81/x
  3. Step 3: Cross multiply
    23,854.50x = 51,176.81 × 51,176.81
  4. Step 4: Simplify right side
    23,854.50x = 2,619,066,137.66
  5. Step 5: Solve for x
    x = 2,619,066,137.66/23,854.50
  6. Step 6: Final answer
    x = 109,793.38

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