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Finding the Third Proportional to 12,008.25 and 24,610.50

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Solution

The third proportional to 12,008.25 and 24,610.50 is: 50,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.25 : 24,610.50 = 24,610.50 : x
  2. Step 2: Convert to fraction form
    12,008.25/24,610.50 = 24,610.50/x
  3. Step 3: Cross multiply
    12,008.25x = 24,610.50 × 24,610.50
  4. Step 4: Simplify right side
    12,008.25x = 605,676,710.25
  5. Step 5: Solve for x
    x = 605,676,710.25/12,008.25
  6. Step 6: Final answer
    x = 50,438.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.