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Finding the Third Proportional to 37,244 and 87,841

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Solution

The third proportional to 37,244 and 87,841 is: 207,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,244 : 87,841 = 87,841 : x
  2. Step 2: Convert to fraction form
    37,244/87,841 = 87,841/x
  3. Step 3: Cross multiply
    37,244x = 87,841 × 87,841
  4. Step 4: Simplify right side
    37,244x = 7,716,041,281
  5. Step 5: Solve for x
    x = 7,716,041,281/37,244
  6. Step 6: Final answer
    x = 207,175.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.