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Finding the Third Proportional to 24,694.88 and 53,137.69

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Solution

The third proportional to 24,694.88 and 53,137.69 is: 114,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.88 : 53,137.69 = 53,137.69 : x
  2. Step 2: Convert to fraction form
    24,694.88/53,137.69 = 53,137.69/x
  3. Step 3: Cross multiply
    24,694.88x = 53,137.69 × 53,137.69
  4. Step 4: Simplify right side
    24,694.88x = 2,823,613,832.85
  5. Step 5: Solve for x
    x = 2,823,613,832.85/24,694.88
  6. Step 6: Final answer
    x = 114,340.07

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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.