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Finding the Third Proportional to 6,668.16 and 14,370.12

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Solution

The third proportional to 6,668.16 and 14,370.12 is: 30,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.16 : 14,370.12 = 14,370.12 : x
  2. Step 2: Convert to fraction form
    6,668.16/14,370.12 = 14,370.12/x
  3. Step 3: Cross multiply
    6,668.16x = 14,370.12 × 14,370.12
  4. Step 4: Simplify right side
    6,668.16x = 206,500,267.98
  5. Step 5: Solve for x
    x = 206,500,267.98/6,668.16
  6. Step 6: Final answer
    x = 30,968.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.