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Finding the Third Proportional to 13,873.78 and 24,651.84

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Solution

The third proportional to 13,873.78 and 24,651.84 is: 43,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.78 : 24,651.84 = 24,651.84 : x
  2. Step 2: Convert to fraction form
    13,873.78/24,651.84 = 24,651.84/x
  3. Step 3: Cross multiply
    13,873.78x = 24,651.84 × 24,651.84
  4. Step 4: Simplify right side
    13,873.78x = 607,713,400.27
  5. Step 5: Solve for x
    x = 607,713,400.27/13,873.78
  6. Step 6: Final answer
    x = 43,803.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.