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Finding the Third Proportional to 37,592 and 89,057

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Solution

The third proportional to 37,592 and 89,057 is: 210,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,592 : 89,057 = 89,057 : x
  2. Step 2: Convert to fraction form
    37,592/89,057 = 89,057/x
  3. Step 3: Cross multiply
    37,592x = 89,057 × 89,057
  4. Step 4: Simplify right side
    37,592x = 7,931,149,249
  5. Step 5: Solve for x
    x = 7,931,149,249/37,592
  6. Step 6: Final answer
    x = 210,979.71

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.