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Finding the Third Proportional to 36,531 and 54,803.25

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Solution

The third proportional to 36,531 and 54,803.25 is: 82,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,531 : 54,803.25 = 54,803.25 : x
  2. Step 2: Convert to fraction form
    36,531/54,803.25 = 54,803.25/x
  3. Step 3: Cross multiply
    36,531x = 54,803.25 × 54,803.25
  4. Step 4: Simplify right side
    36,531x = 3,003,396,210.56
  5. Step 5: Solve for x
    x = 3,003,396,210.56/36,531
  6. Step 6: Final answer
    x = 82,215.00

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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.