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Finding the Third Proportional to 13,866.75 and 18,481.50

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Solution

The third proportional to 13,866.75 and 18,481.50 is: 24,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.75 : 18,481.50 = 18,481.50 : x
  2. Step 2: Convert to fraction form
    13,866.75/18,481.50 = 18,481.50/x
  3. Step 3: Cross multiply
    13,866.75x = 18,481.50 × 18,481.50
  4. Step 4: Simplify right side
    13,866.75x = 341,565,842.25
  5. Step 5: Solve for x
    x = 341,565,842.25/13,866.75
  6. Step 6: Final answer
    x = 24,632.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.