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Finding the Third Proportional to 37,889 and 79,707

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Solution

The third proportional to 37,889 and 79,707 is: 167,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,889 : 79,707 = 79,707 : x
  2. Step 2: Convert to fraction form
    37,889/79,707 = 79,707/x
  3. Step 3: Cross multiply
    37,889x = 79,707 × 79,707
  4. Step 4: Simplify right side
    37,889x = 6,353,205,849
  5. Step 5: Solve for x
    x = 6,353,205,849/37,889
  6. Step 6: Final answer
    x = 167,679.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.