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Finding the Third Proportional to 12,448.79 and 26,974.05

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Solution

The third proportional to 12,448.79 and 26,974.05 is: 58,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.79 : 26,974.05 = 26,974.05 : x
  2. Step 2: Convert to fraction form
    12,448.79/26,974.05 = 26,974.05/x
  3. Step 3: Cross multiply
    12,448.79x = 26,974.05 × 26,974.05
  4. Step 4: Simplify right side
    12,448.79x = 727,599,626.28
  5. Step 5: Solve for x
    x = 727,599,626.28/12,448.79
  6. Step 6: Final answer
    x = 58,447.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.