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Finding the Third Proportional to 36,421.50 and 74,179.50

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Solution

The third proportional to 36,421.50 and 74,179.50 is: 151,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,421.50 : 74,179.50 = 74,179.50 : x
  2. Step 2: Convert to fraction form
    36,421.50/74,179.50 = 74,179.50/x
  3. Step 3: Cross multiply
    36,421.50x = 74,179.50 × 74,179.50
  4. Step 4: Simplify right side
    36,421.50x = 5,502,598,220.25
  5. Step 5: Solve for x
    x = 5,502,598,220.25/36,421.50
  6. Step 6: Final answer
    x = 151,081.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.