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Finding the Third Proportional to 24,812.25 and 51,629.25

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Solution

The third proportional to 24,812.25 and 51,629.25 is: 107,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.25 : 51,629.25 = 51,629.25 : x
  2. Step 2: Convert to fraction form
    24,812.25/51,629.25 = 51,629.25/x
  3. Step 3: Cross multiply
    24,812.25x = 51,629.25 × 51,629.25
  4. Step 4: Simplify right side
    24,812.25x = 2,665,579,455.56
  5. Step 5: Solve for x
    x = 2,665,579,455.56/24,812.25
  6. Step 6: Final answer
    x = 107,429.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.