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Finding the Third Proportional to 2,534.75 and 5,191

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Solution

The third proportional to 2,534.75 and 5,191 is: 10,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.75 : 5,191 = 5,191 : x
  2. Step 2: Convert to fraction form
    2,534.75/5,191 = 5,191/x
  3. Step 3: Cross multiply
    2,534.75x = 5,191 × 5,191
  4. Step 4: Simplify right side
    2,534.75x = 26,946,481
  5. Step 5: Solve for x
    x = 26,946,481/2,534.75
  6. Step 6: Final answer
    x = 10,630.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.