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Finding the Third Proportional to 6,613.50 and 13,924.50

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Solution

The third proportional to 6,613.50 and 13,924.50 is: 29,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.50 : 13,924.50 = 13,924.50 : x
  2. Step 2: Convert to fraction form
    6,613.50/13,924.50 = 13,924.50/x
  3. Step 3: Cross multiply
    6,613.50x = 13,924.50 × 13,924.50
  4. Step 4: Simplify right side
    6,613.50x = 193,891,700.25
  5. Step 5: Solve for x
    x = 193,891,700.25/6,613.50
  6. Step 6: Final answer
    x = 29,317.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.