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Finding the Third Proportional to 6,669 and 14,097.38

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Solution

The third proportional to 6,669 and 14,097.38 is: 29,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669 : 14,097.38 = 14,097.38 : x
  2. Step 2: Convert to fraction form
    6,669/14,097.38 = 14,097.38/x
  3. Step 3: Cross multiply
    6,669x = 14,097.38 × 14,097.38
  4. Step 4: Simplify right side
    6,669x = 198,735,981.89
  5. Step 5: Solve for x
    x = 198,735,981.89/6,669
  6. Step 6: Final answer
    x = 29,799.97

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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.