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Finding the Third Proportional to 36,621 and 54,932.50

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Solution

The third proportional to 36,621 and 54,932.50 is: 82,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,621 : 54,932.50 = 54,932.50 : x
  2. Step 2: Convert to fraction form
    36,621/54,932.50 = 54,932.50/x
  3. Step 3: Cross multiply
    36,621x = 54,932.50 × 54,932.50
  4. Step 4: Simplify right side
    36,621x = 3,017,579,556.25
  5. Step 5: Solve for x
    x = 3,017,579,556.25/36,621
  6. Step 6: Final answer
    x = 82,400.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.