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Finding the Third Proportional to 6,852.25 and 14,676.25

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Solution

The third proportional to 6,852.25 and 14,676.25 is: 31,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.25 : 14,676.25 = 14,676.25 : x
  2. Step 2: Convert to fraction form
    6,852.25/14,676.25 = 14,676.25/x
  3. Step 3: Cross multiply
    6,852.25x = 14,676.25 × 14,676.25
  4. Step 4: Simplify right side
    6,852.25x = 215,392,314.06
  5. Step 5: Solve for x
    x = 215,392,314.06/6,852.25
  6. Step 6: Final answer
    x = 31,433.81

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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.