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Finding the Third Proportional to 14,865.75 and 20,385.19

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Solution

The third proportional to 14,865.75 and 20,385.19 is: 27,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.75 : 20,385.19 = 20,385.19 : x
  2. Step 2: Convert to fraction form
    14,865.75/20,385.19 = 20,385.19/x
  3. Step 3: Cross multiply
    14,865.75x = 20,385.19 × 20,385.19
  4. Step 4: Simplify right side
    14,865.75x = 415,555,869.41
  5. Step 5: Solve for x
    x = 415,555,869.41/14,865.75
  6. Step 6: Final answer
    x = 27,953.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.