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Finding the Third Proportional to 14,041 and 20,485.50

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Solution

The third proportional to 14,041 and 20,485.50 is: 29,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041 : 20,485.50 = 20,485.50 : x
  2. Step 2: Convert to fraction form
    14,041/20,485.50 = 20,485.50/x
  3. Step 3: Cross multiply
    14,041x = 20,485.50 × 20,485.50
  4. Step 4: Simplify right side
    14,041x = 419,655,710.25
  5. Step 5: Solve for x
    x = 419,655,710.25/14,041
  6. Step 6: Final answer
    x = 29,887.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.