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Finding the Third Proportional to 36,996.75 and 78,580.13

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Solution

The third proportional to 36,996.75 and 78,580.13 is: 166,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,996.75 : 78,580.13 = 78,580.13 : x
  2. Step 2: Convert to fraction form
    36,996.75/78,580.13 = 78,580.13/x
  3. Step 3: Cross multiply
    36,996.75x = 78,580.13 × 78,580.13
  4. Step 4: Simplify right side
    36,996.75x = 6,174,836,045.02
  5. Step 5: Solve for x
    x = 6,174,836,045.02/36,996.75
  6. Step 6: Final answer
    x = 166,902.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.