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Finding the Third Proportional to 14,085 and 27,751.50

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Solution

The third proportional to 14,085 and 27,751.50 is: 54,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085 : 27,751.50 = 27,751.50 : x
  2. Step 2: Convert to fraction form
    14,085/27,751.50 = 27,751.50/x
  3. Step 3: Cross multiply
    14,085x = 27,751.50 × 27,751.50
  4. Step 4: Simplify right side
    14,085x = 770,145,752.25
  5. Step 5: Solve for x
    x = 770,145,752.25/14,085
  6. Step 6: Final answer
    x = 54,678.43

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.