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Finding the Third Proportional to 12,615.75 and 17,493.75

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Solution

The third proportional to 12,615.75 and 17,493.75 is: 24,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.75 : 17,493.75 = 17,493.75 : x
  2. Step 2: Convert to fraction form
    12,615.75/17,493.75 = 17,493.75/x
  3. Step 3: Cross multiply
    12,615.75x = 17,493.75 × 17,493.75
  4. Step 4: Simplify right side
    12,615.75x = 306,031,289.06
  5. Step 5: Solve for x
    x = 306,031,289.06/12,615.75
  6. Step 6: Final answer
    x = 24,257.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.