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Finding the Third Proportional to 37,164.75 and 77,407.75

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Solution

The third proportional to 37,164.75 and 77,407.75 is: 161,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164.75 : 77,407.75 = 77,407.75 : x
  2. Step 2: Convert to fraction form
    37,164.75/77,407.75 = 77,407.75/x
  3. Step 3: Cross multiply
    37,164.75x = 77,407.75 × 77,407.75
  4. Step 4: Simplify right side
    37,164.75x = 5,991,959,760.06
  5. Step 5: Solve for x
    x = 5,991,959,760.06/37,164.75
  6. Step 6: Final answer
    x = 161,226.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.