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Finding the Third Proportional to 12,030 and 24,825

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Solution

The third proportional to 12,030 and 24,825 is: 51,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030 : 24,825 = 24,825 : x
  2. Step 2: Convert to fraction form
    12,030/24,825 = 24,825/x
  3. Step 3: Cross multiply
    12,030x = 24,825 × 24,825
  4. Step 4: Simplify right side
    12,030x = 616,280,625
  5. Step 5: Solve for x
    x = 616,280,625/12,030
  6. Step 6: Final answer
    x = 51,228.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.