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Finding the Third Proportional to 36,617 and 79,948

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Solution

The third proportional to 36,617 and 79,948 is: 174,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,617 : 79,948 = 79,948 : x
  2. Step 2: Convert to fraction form
    36,617/79,948 = 79,948/x
  3. Step 3: Cross multiply
    36,617x = 79,948 × 79,948
  4. Step 4: Simplify right side
    36,617x = 6,391,682,704
  5. Step 5: Solve for x
    x = 6,391,682,704/36,617
  6. Step 6: Final answer
    x = 174,555.06

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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.