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Finding the Third Proportional to 6,670.63 and 14,110.14

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Solution

The third proportional to 6,670.63 and 14,110.14 is: 29,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.63 : 14,110.14 = 14,110.14 : x
  2. Step 2: Convert to fraction form
    6,670.63/14,110.14 = 14,110.14/x
  3. Step 3: Cross multiply
    6,670.63x = 14,110.14 × 14,110.14
  4. Step 4: Simplify right side
    6,670.63x = 199,095,958.22
  5. Step 5: Solve for x
    x = 199,095,958.22/6,670.63
  6. Step 6: Final answer
    x = 29,846.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.