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Finding the Third Proportional to 6,255.50 and 13,385

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Solution

The third proportional to 6,255.50 and 13,385 is: 28,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255.50 : 13,385 = 13,385 : x
  2. Step 2: Convert to fraction form
    6,255.50/13,385 = 13,385/x
  3. Step 3: Cross multiply
    6,255.50x = 13,385 × 13,385
  4. Step 4: Simplify right side
    6,255.50x = 179,158,225
  5. Step 5: Solve for x
    x = 179,158,225/6,255.50
  6. Step 6: Final answer
    x = 28,640.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.