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Finding the Third Proportional to 37,842 and 82,313

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Solution

The third proportional to 37,842 and 82,313 is: 179,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 82,313 = 82,313 : x
  2. Step 2: Convert to fraction form
    37,842/82,313 = 82,313/x
  3. Step 3: Cross multiply
    37,842x = 82,313 × 82,313
  4. Step 4: Simplify right side
    37,842x = 6,775,429,969
  5. Step 5: Solve for x
    x = 6,775,429,969/37,842
  6. Step 6: Final answer
    x = 179,045.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.