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Finding the Third Proportional to 12,999.94 and 26,499.38

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Solution

The third proportional to 12,999.94 and 26,499.38 is: 54,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.94 : 26,499.38 = 26,499.38 : x
  2. Step 2: Convert to fraction form
    12,999.94/26,499.38 = 26,499.38/x
  3. Step 3: Cross multiply
    12,999.94x = 26,499.38 × 26,499.38
  4. Step 4: Simplify right side
    12,999.94x = 702,216,875.39
  5. Step 5: Solve for x
    x = 702,216,875.39/12,999.94
  6. Step 6: Final answer
    x = 54,016.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.