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Finding the Third Proportional to 24,276.38 and 51,468.75

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Solution

The third proportional to 24,276.38 and 51,468.75 is: 109,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276.38 : 51,468.75 = 51,468.75 : x
  2. Step 2: Convert to fraction form
    24,276.38/51,468.75 = 51,468.75/x
  3. Step 3: Cross multiply
    24,276.38x = 51,468.75 × 51,468.75
  4. Step 4: Simplify right side
    24,276.38x = 2,649,032,226.56
  5. Step 5: Solve for x
    x = 2,649,032,226.56/24,276.38
  6. Step 6: Final answer
    x = 109,119.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.