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Finding the Third Proportional to 6,725.34 and 13,278.47

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Solution

The third proportional to 6,725.34 and 13,278.47 is: 26,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.34 : 13,278.47 = 13,278.47 : x
  2. Step 2: Convert to fraction form
    6,725.34/13,278.47 = 13,278.47/x
  3. Step 3: Cross multiply
    6,725.34x = 13,278.47 × 13,278.47
  4. Step 4: Simplify right side
    6,725.34x = 176,317,732.34
  5. Step 5: Solve for x
    x = 176,317,732.34/6,725.34
  6. Step 6: Final answer
    x = 26,216.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.