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Finding the Third Proportional to 37,407 and 79,998.75

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Solution

The third proportional to 37,407 and 79,998.75 is: 171,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,407 : 79,998.75 = 79,998.75 : x
  2. Step 2: Convert to fraction form
    37,407/79,998.75 = 79,998.75/x
  3. Step 3: Cross multiply
    37,407x = 79,998.75 × 79,998.75
  4. Step 4: Simplify right side
    37,407x = 6,399,800,001.56
  5. Step 5: Solve for x
    x = 6,399,800,001.56/37,407
  6. Step 6: Final answer
    x = 171,085.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.