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Finding the Third Proportional to 6,905 and 15,241

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Solution

The third proportional to 6,905 and 15,241 is: 33,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905 : 15,241 = 15,241 : x
  2. Step 2: Convert to fraction form
    6,905/15,241 = 15,241/x
  3. Step 3: Cross multiply
    6,905x = 15,241 × 15,241
  4. Step 4: Simplify right side
    6,905x = 232,288,081
  5. Step 5: Solve for x
    x = 232,288,081/6,905
  6. Step 6: Final answer
    x = 33,640.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.