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Finding the Third Proportional to 11,209.50 and 24,028.88

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Solution

The third proportional to 11,209.50 and 24,028.88 is: 51,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.50 : 24,028.88 = 24,028.88 : x
  2. Step 2: Convert to fraction form
    11,209.50/24,028.88 = 24,028.88/x
  3. Step 3: Cross multiply
    11,209.50x = 24,028.88 × 24,028.88
  4. Step 4: Simplify right side
    11,209.50x = 577,386,833.77
  5. Step 5: Solve for x
    x = 577,386,833.77/11,209.50
  6. Step 6: Final answer
    x = 51,508.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.