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Finding the Third Proportional to 14,673.50 and 22,081

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Solution

The third proportional to 14,673.50 and 22,081 is: 33,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.50 : 22,081 = 22,081 : x
  2. Step 2: Convert to fraction form
    14,673.50/22,081 = 22,081/x
  3. Step 3: Cross multiply
    14,673.50x = 22,081 × 22,081
  4. Step 4: Simplify right side
    14,673.50x = 487,570,561
  5. Step 5: Solve for x
    x = 487,570,561/14,673.50
  6. Step 6: Final answer
    x = 33,227.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.