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Finding the Third Proportional to 36,152.50 and 74,066.50

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Solution

The third proportional to 36,152.50 and 74,066.50 is: 151,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,152.50 : 74,066.50 = 74,066.50 : x
  2. Step 2: Convert to fraction form
    36,152.50/74,066.50 = 74,066.50/x
  3. Step 3: Cross multiply
    36,152.50x = 74,066.50 × 74,066.50
  4. Step 4: Simplify right side
    36,152.50x = 5,485,846,422.25
  5. Step 5: Solve for x
    x = 5,485,846,422.25/36,152.50
  6. Step 6: Final answer
    x = 151,741.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.