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Finding the Third Proportional to 36,418.50 and 79,457

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Solution

The third proportional to 36,418.50 and 79,457 is: 173,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,418.50 : 79,457 = 79,457 : x
  2. Step 2: Convert to fraction form
    36,418.50/79,457 = 79,457/x
  3. Step 3: Cross multiply
    36,418.50x = 79,457 × 79,457
  4. Step 4: Simplify right side
    36,418.50x = 6,313,414,849
  5. Step 5: Solve for x
    x = 6,313,414,849/36,418.50
  6. Step 6: Final answer
    x = 173,357.36

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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.