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Finding the Third Proportional to 6,750 and 14,264.25

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Solution

The third proportional to 6,750 and 14,264.25 is: 30,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750 : 14,264.25 = 14,264.25 : x
  2. Step 2: Convert to fraction form
    6,750/14,264.25 = 14,264.25/x
  3. Step 3: Cross multiply
    6,750x = 14,264.25 × 14,264.25
  4. Step 4: Simplify right side
    6,750x = 203,468,828.06
  5. Step 5: Solve for x
    x = 203,468,828.06/6,750
  6. Step 6: Final answer
    x = 30,143.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.