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Finding the Third Proportional to 36,821 and 55,646

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Solution

The third proportional to 36,821 and 55,646 is: 84,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,821 : 55,646 = 55,646 : x
  2. Step 2: Convert to fraction form
    36,821/55,646 = 55,646/x
  3. Step 3: Cross multiply
    36,821x = 55,646 × 55,646
  4. Step 4: Simplify right side
    36,821x = 3,096,477,316
  5. Step 5: Solve for x
    x = 3,096,477,316/36,821
  6. Step 6: Final answer
    x = 84,095.42

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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.