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Finding the Third Proportional to 24,563.44 and 52,631.63

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Solution

The third proportional to 24,563.44 and 52,631.63 is: 112,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.44 : 52,631.63 = 52,631.63 : x
  2. Step 2: Convert to fraction form
    24,563.44/52,631.63 = 52,631.63/x
  3. Step 3: Cross multiply
    24,563.44x = 52,631.63 × 52,631.63
  4. Step 4: Simplify right side
    24,563.44x = 2,770,087,950.14
  5. Step 5: Solve for x
    x = 2,770,087,950.14/24,563.44
  6. Step 6: Final answer
    x = 112,772.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.