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Finding the Third Proportional to 36,902.25 and 76,430.25

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Solution

The third proportional to 36,902.25 and 76,430.25 is: 158,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902.25 : 76,430.25 = 76,430.25 : x
  2. Step 2: Convert to fraction form
    36,902.25/76,430.25 = 76,430.25/x
  3. Step 3: Cross multiply
    36,902.25x = 76,430.25 × 76,430.25
  4. Step 4: Simplify right side
    36,902.25x = 5,841,583,115.06
  5. Step 5: Solve for x
    x = 5,841,583,115.06/36,902.25
  6. Step 6: Final answer
    x = 158,298.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.