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Finding the Third Proportional to 8,202.94 and 12,725.72

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Solution

The third proportional to 8,202.94 and 12,725.72 is: 19,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.94 : 12,725.72 = 12,725.72 : x
  2. Step 2: Convert to fraction form
    8,202.94/12,725.72 = 12,725.72/x
  3. Step 3: Cross multiply
    8,202.94x = 12,725.72 × 12,725.72
  4. Step 4: Simplify right side
    8,202.94x = 161,943,917.70
  5. Step 5: Solve for x
    x = 161,943,917.70/8,202.94
  6. Step 6: Final answer
    x = 19,742.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.