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Finding the Third Proportional to 8,610 and 13,241

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Solution

The third proportional to 8,610 and 13,241 is: 20,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610 : 13,241 = 13,241 : x
  2. Step 2: Convert to fraction form
    8,610/13,241 = 13,241/x
  3. Step 3: Cross multiply
    8,610x = 13,241 × 13,241
  4. Step 4: Simplify right side
    8,610x = 175,324,081
  5. Step 5: Solve for x
    x = 175,324,081/8,610
  6. Step 6: Final answer
    x = 20,362.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.