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Finding the Third Proportional to 12,334.50 and 18,808.75

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Solution

The third proportional to 12,334.50 and 18,808.75 is: 28,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.50 : 18,808.75 = 18,808.75 : x
  2. Step 2: Convert to fraction form
    12,334.50/18,808.75 = 18,808.75/x
  3. Step 3: Cross multiply
    12,334.50x = 18,808.75 × 18,808.75
  4. Step 4: Simplify right side
    12,334.50x = 353,769,076.56
  5. Step 5: Solve for x
    x = 353,769,076.56/12,334.50
  6. Step 6: Final answer
    x = 28,681.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.