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Finding the Third Proportional to 8,114.50 and 16,613

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Solution

The third proportional to 8,114.50 and 16,613 is: 34,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.50 : 16,613 = 16,613 : x
  2. Step 2: Convert to fraction form
    8,114.50/16,613 = 16,613/x
  3. Step 3: Cross multiply
    8,114.50x = 16,613 × 16,613
  4. Step 4: Simplify right side
    8,114.50x = 275,991,769
  5. Step 5: Solve for x
    x = 275,991,769/8,114.50
  6. Step 6: Final answer
    x = 34,012.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.