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Finding the Third Proportional to 36,522.19 and 54,783.19

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Solution

The third proportional to 36,522.19 and 54,783.19 is: 82,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,522.19 : 54,783.19 = 54,783.19 : x
  2. Step 2: Convert to fraction form
    36,522.19/54,783.19 = 54,783.19/x
  3. Step 3: Cross multiply
    36,522.19x = 54,783.19 × 54,783.19
  4. Step 4: Simplify right side
    36,522.19x = 3,001,197,632.66
  5. Step 5: Solve for x
    x = 3,001,197,632.66/36,522.19
  6. Step 6: Final answer
    x = 82,174.64

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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.