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Finding the Third Proportional to 2,906.50 and 6,281

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Solution

The third proportional to 2,906.50 and 6,281 is: 13,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.50 : 6,281 = 6,281 : x
  2. Step 2: Convert to fraction form
    2,906.50/6,281 = 6,281/x
  3. Step 3: Cross multiply
    2,906.50x = 6,281 × 6,281
  4. Step 4: Simplify right side
    2,906.50x = 39,450,961
  5. Step 5: Solve for x
    x = 39,450,961/2,906.50
  6. Step 6: Final answer
    x = 13,573.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.