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Finding the Third Proportional to 6,629.34 and 14,166.14

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Solution

The third proportional to 6,629.34 and 14,166.14 is: 30,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.34 : 14,166.14 = 14,166.14 : x
  2. Step 2: Convert to fraction form
    6,629.34/14,166.14 = 14,166.14/x
  3. Step 3: Cross multiply
    6,629.34x = 14,166.14 × 14,166.14
  4. Step 4: Simplify right side
    6,629.34x = 200,679,540.21
  5. Step 5: Solve for x
    x = 200,679,540.21/6,629.34
  6. Step 6: Final answer
    x = 30,271.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.