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Finding the Third Proportional to 25,133.25 and 52,334.25

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Solution

The third proportional to 25,133.25 and 52,334.25 is: 108,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,133.25 : 52,334.25 = 52,334.25 : x
  2. Step 2: Convert to fraction form
    25,133.25/52,334.25 = 52,334.25/x
  3. Step 3: Cross multiply
    25,133.25x = 52,334.25 × 52,334.25
  4. Step 4: Simplify right side
    25,133.25x = 2,738,873,723.06
  5. Step 5: Solve for x
    x = 2,738,873,723.06/25,133.25
  6. Step 6: Final answer
    x = 108,974.12

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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.