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Finding the Third Proportional to 6,078.66 and 12,999.38

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Solution

The third proportional to 6,078.66 and 12,999.38 is: 27,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.66 : 12,999.38 = 12,999.38 : x
  2. Step 2: Convert to fraction form
    6,078.66/12,999.38 = 12,999.38/x
  3. Step 3: Cross multiply
    6,078.66x = 12,999.38 × 12,999.38
  4. Step 4: Simplify right side
    6,078.66x = 168,983,750.39
  5. Step 5: Solve for x
    x = 168,983,750.39/6,078.66
  6. Step 6: Final answer
    x = 27,799.52

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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.