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Finding the Third Proportional to 6,669 and 8,949.38

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Solution

The third proportional to 6,669 and 8,949.38 is: 12,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669 : 8,949.38 = 8,949.38 : x
  2. Step 2: Convert to fraction form
    6,669/8,949.38 = 8,949.38/x
  3. Step 3: Cross multiply
    6,669x = 8,949.38 × 8,949.38
  4. Step 4: Simplify right side
    6,669x = 80,091,312.89
  5. Step 5: Solve for x
    x = 80,091,312.89/6,669
  6. Step 6: Final answer
    x = 12,009.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.