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Finding the Third Proportional to 6,613.21 and 14,238.76

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Solution

The third proportional to 6,613.21 and 14,238.76 is: 30,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.21 : 14,238.76 = 14,238.76 : x
  2. Step 2: Convert to fraction form
    6,613.21/14,238.76 = 14,238.76/x
  3. Step 3: Cross multiply
    6,613.21x = 14,238.76 × 14,238.76
  4. Step 4: Simplify right side
    6,613.21x = 202,742,168.42
  5. Step 5: Solve for x
    x = 202,742,168.42/6,613.21
  6. Step 6: Final answer
    x = 30,657.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.