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Finding the Third Proportional to 6,854 and 14,679.25

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Solution

The third proportional to 6,854 and 14,679.25 is: 31,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854 : 14,679.25 = 14,679.25 : x
  2. Step 2: Convert to fraction form
    6,854/14,679.25 = 14,679.25/x
  3. Step 3: Cross multiply
    6,854x = 14,679.25 × 14,679.25
  4. Step 4: Simplify right side
    6,854x = 215,480,380.56
  5. Step 5: Solve for x
    x = 215,480,380.56/6,854
  6. Step 6: Final answer
    x = 31,438.63

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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.