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Finding the Third Proportional to 14,363.25 and 20,687.25

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Solution

The third proportional to 14,363.25 and 20,687.25 is: 29,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363.25 : 20,687.25 = 20,687.25 : x
  2. Step 2: Convert to fraction form
    14,363.25/20,687.25 = 20,687.25/x
  3. Step 3: Cross multiply
    14,363.25x = 20,687.25 × 20,687.25
  4. Step 4: Simplify right side
    14,363.25x = 427,962,312.56
  5. Step 5: Solve for x
    x = 427,962,312.56/14,363.25
  6. Step 6: Final answer
    x = 29,795.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.