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Finding the Third Proportional to 36,560 and 55,241

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Solution

The third proportional to 36,560 and 55,241 is: 83,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,560 : 55,241 = 55,241 : x
  2. Step 2: Convert to fraction form
    36,560/55,241 = 55,241/x
  3. Step 3: Cross multiply
    36,560x = 55,241 × 55,241
  4. Step 4: Simplify right side
    36,560x = 3,051,568,081
  5. Step 5: Solve for x
    x = 3,051,568,081/36,560
  6. Step 6: Final answer
    x = 83,467.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.