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Finding the Third Proportional to 37,239.25 and 79,808.38

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Solution

The third proportional to 37,239.25 and 79,808.38 is: 171,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,239.25 : 79,808.38 = 79,808.38 : x
  2. Step 2: Convert to fraction form
    37,239.25/79,808.38 = 79,808.38/x
  3. Step 3: Cross multiply
    37,239.25x = 79,808.38 × 79,808.38
  4. Step 4: Simplify right side
    37,239.25x = 6,369,376,720.14
  5. Step 5: Solve for x
    x = 6,369,376,720.14/37,239.25
  6. Step 6: Final answer
    x = 171,039.34

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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.