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Finding the Third Proportional to 14,909.50 and 20,177

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Solution

The third proportional to 14,909.50 and 20,177 is: 27,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.50 : 20,177 = 20,177 : x
  2. Step 2: Convert to fraction form
    14,909.50/20,177 = 20,177/x
  3. Step 3: Cross multiply
    14,909.50x = 20,177 × 20,177
  4. Step 4: Simplify right side
    14,909.50x = 407,111,329
  5. Step 5: Solve for x
    x = 407,111,329/14,909.50
  6. Step 6: Final answer
    x = 27,305.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.