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Finding the Third Proportional to 12,425.25 and 24,839.25

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Solution

The third proportional to 12,425.25 and 24,839.25 is: 49,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.25 : 24,839.25 = 24,839.25 : x
  2. Step 2: Convert to fraction form
    12,425.25/24,839.25 = 24,839.25/x
  3. Step 3: Cross multiply
    12,425.25x = 24,839.25 × 24,839.25
  4. Step 4: Simplify right side
    12,425.25x = 616,988,340.56
  5. Step 5: Solve for x
    x = 616,988,340.56/12,425.25
  6. Step 6: Final answer
    x = 49,656.01

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.