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Finding the Third Proportional to 11,993.06 and 26,370.56

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Solution

The third proportional to 11,993.06 and 26,370.56 is: 57,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.06 : 26,370.56 = 26,370.56 : x
  2. Step 2: Convert to fraction form
    11,993.06/26,370.56 = 26,370.56/x
  3. Step 3: Cross multiply
    11,993.06x = 26,370.56 × 26,370.56
  4. Step 4: Simplify right side
    11,993.06x = 695,406,566.57
  5. Step 5: Solve for x
    x = 695,406,566.57/11,993.06
  6. Step 6: Final answer
    x = 57,984.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.