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Finding the Third Proportional to 6,176.50 and 13,613

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Solution

The third proportional to 6,176.50 and 13,613 is: 30,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.50 : 13,613 = 13,613 : x
  2. Step 2: Convert to fraction form
    6,176.50/13,613 = 13,613/x
  3. Step 3: Cross multiply
    6,176.50x = 13,613 × 13,613
  4. Step 4: Simplify right side
    6,176.50x = 185,313,769
  5. Step 5: Solve for x
    x = 185,313,769/6,176.50
  6. Step 6: Final answer
    x = 30,003.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.